Long Division Worksheet with Double Digit Divisors (Set 2 ... - Free Printable
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Step-by-step solution for: Long Division Worksheet with Double Digit Divisors (Set 2 ...
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Show Answer Key & Explanations
Step-by-step solution for: Long Division Worksheet with Double Digit Divisors (Set 2 ...
Let's solve each of the division problems on your worksheet. These are long division problems with double-digit divisors and five-digit dividends, and all divisions result in no remainder (exact division).
We'll go through each problem step by step.
---
#### 1) 61 ÷ 43493
We divide 43,493 by 61.
Let’s perform long division:
```
713
________
61|43493
-427
------
79
-61
----
183
-183
-----
0
```
Step-by-step:
- 61 goes into 434 (first three digits) 7 times: 61 × 7 = 427 → subtract: 434 - 427 = 7
- Bring down 9 → 79
- 61 goes into 79 1 time: 61 × 1 = 61 → 79 - 61 = 18
- Bring down 3 → 183
- 61 goes into 183 3 times: 61 × 3 = 183 → 183 - 183 = 0
✔ So, 43,493 ÷ 61 = 713
---
#### 2) 20 ÷ 11480
Wait — this is written as `20)11480`, so it's 11,480 ÷ 20
Let’s divide:
```
574
_______
20|11480
-100
-----
148
-140
-----
80
-80
---
0
```
Steps:
- 20 into 114 → 5 times: 20×5=100 → 114−100=14
- Bring down 8 → 148
- 20 into 148 → 7 times: 20×7=140 → 148−140=8
- Bring down 0 → 80
- 20 into 80 → 4 times: 20×4=80 → 0
✔ So, 11,480 ÷ 20 = 574
---
#### 3) 64 ÷ 39872
This is 39,872 ÷ 64
```
623
_______
64|39872
-384
------
147
-128
------
192
-192
------
0
```
Steps:
- 64 into 398 → 6 times: 64×6=384 → 398−384=14
- Bring down 7 → 147
- 64 into 147 → 2 times: 64×2=128 → 147−128=19
- Bring down 2 → 192
- 64 into 192 → 3 times: 64×3=192 → 0
✔ So, 39,872 ÷ 64 = 623
---
#### 1) 46 ÷ 13110
This is 13,110 ÷ 46
```
285
_______
46|13110
-92
----
391
-368
----
230
-230
----
0
```
Steps:
- 46 into 131 → 2 times: 46×2=92 → 131−92=39
- Bring down 1 → 391
- 46 into 391 → 8 times: 46×8=368 → 391−368=23
- Bring down 0 → 230
- 46 into 230 → 5 times: 46×5=230 → 0
✔ So, 13,110 ÷ 46 = 285
---
#### 2) 37 ÷ 14948
This is 14,948 ÷ 37
```
404
_______
37|14948
-148
------
144
-148 → too big, so try 0?
Wait, let's do it properly.
```
Better:
- 37 into 149 → 4 times: 37×4=148 → 149−148=1
- Bring down 4 → 14
- 37 into 14 → 0 → write 0
- Bring down 8 → 148
- 37 into 148 → 4 times: 37×4=148 → 0
So:
```
404
_______
37|14948
-148
------
144
- 0
----
148
-148
----
0
```
Wait — actually, after 149 − 148 = 1, bring down 4 → 14 → 37 doesn't go into 14 → place a 0 in quotient → then bring down 8 → 148
So:
- Quotient so far: 40
- Then 148 ÷ 37 = 4 → total quotient: 404
✔ So, 14,948 ÷ 37 = 404
---
#### 3) 27 ÷ 15633
This is 15,633 ÷ 27
```
579
_______
27|15633
-135
------
213
-189
------
243
-243
------
0
```
Steps:
- 27 into 156 → 5 times: 27×5=135 → 156−135=21
- Bring down 3 → 213
- 27 into 213 → 7 times: 27×7=189 → 213−189=24
- Bring down 3 → 243
- 27 into 243 → 9 times: 27×9=243 → 0
✔ So, 15,633 ÷ 27 = 579
---
#### 1) 19 ÷ 13509
This is 13,509 ÷ 19
```
711
_______
19|13509
-133
------
20
-19
----
109
-109
----
0
```
Steps:
- 19 into 135 → 7 times: 19×7=133 → 135−133=2
- Bring down 0 → 20
- 19 into 20 → 1 time: 19×1=19 → 20−19=1
- Bring down 9 → 19
- 19 into 19 → 1 time: 19×1=19 → 0
So quotient: 711
✔ 13,509 ÷ 19 = 711
---
#### 2) 57 ÷ 16416
This is 16,416 ÷ 57
```
288
_______
57|16416
-114
------
501
-456
------
456
-456
------
0
```
Steps:
- 57 into 164 → 2 times: 57×2=114 → 164−114=50
- Bring down 1 → 501
- 57 into 501 → 8 times: 57×8=456 → 501−456=45
- Bring down 6 → 456
- 57 into 456 → 8 times: 57×8=456 → 0
✔ So, 16,416 ÷ 57 = 288
---
#### 3) 54 ÷ 15876
This is 15,876 ÷ 54
```
294
_______
54|15876
-108
------
507
-432
------
756
-540
------
216
-216
------
0
```
Wait — let's fix that.
Actually:
- 54 into 158 → 2 times: 54×2=108 → 158−108=50
- Bring down 7 → 507
- 54 into 507 → 9 times: 54×9=486 → 507−486=21
- Bring down 6 → 216
- 54 into 216 → 4 times: 54×4=216 → 0
So:
```
294
_______
54|15876
-108
------
507
-486
------
216
-216
------
0
```
✔ So, 15,876 ÷ 54 = 294
---
#### Set 1:
1) 43,493 ÷ 61 = 713
2) 11,480 ÷ 20 = 574
3) 39,872 ÷ 64 = 623
#### Set 2:
1) 13,110 ÷ 46 = 285
2) 14,948 ÷ 37 = 404
3) 15,633 ÷ 27 = 579
#### Set 3:
1) 13,509 ÷ 19 = 711
2) 16,416 ÷ 57 = 288
3) 15,876 ÷ 54 = 294
---
Let me know if you'd like these answers formatted neatly for printing or if you want to check any specific one!
We'll go through each problem step by step.
---
Set 1:
#### 1) 61 ÷ 43493
We divide 43,493 by 61.
Let’s perform long division:
```
713
________
61|43493
-427
------
79
-61
----
183
-183
-----
0
```
Step-by-step:
- 61 goes into 434 (first three digits) 7 times: 61 × 7 = 427 → subtract: 434 - 427 = 7
- Bring down 9 → 79
- 61 goes into 79 1 time: 61 × 1 = 61 → 79 - 61 = 18
- Bring down 3 → 183
- 61 goes into 183 3 times: 61 × 3 = 183 → 183 - 183 = 0
✔ So, 43,493 ÷ 61 = 713
---
#### 2) 20 ÷ 11480
Wait — this is written as `20)11480`, so it's 11,480 ÷ 20
Let’s divide:
```
574
_______
20|11480
-100
-----
148
-140
-----
80
-80
---
0
```
Steps:
- 20 into 114 → 5 times: 20×5=100 → 114−100=14
- Bring down 8 → 148
- 20 into 148 → 7 times: 20×7=140 → 148−140=8
- Bring down 0 → 80
- 20 into 80 → 4 times: 20×4=80 → 0
✔ So, 11,480 ÷ 20 = 574
---
#### 3) 64 ÷ 39872
This is 39,872 ÷ 64
```
623
_______
64|39872
-384
------
147
-128
------
192
-192
------
0
```
Steps:
- 64 into 398 → 6 times: 64×6=384 → 398−384=14
- Bring down 7 → 147
- 64 into 147 → 2 times: 64×2=128 → 147−128=19
- Bring down 2 → 192
- 64 into 192 → 3 times: 64×3=192 → 0
✔ So, 39,872 ÷ 64 = 623
---
Set 2:
#### 1) 46 ÷ 13110
This is 13,110 ÷ 46
```
285
_______
46|13110
-92
----
391
-368
----
230
-230
----
0
```
Steps:
- 46 into 131 → 2 times: 46×2=92 → 131−92=39
- Bring down 1 → 391
- 46 into 391 → 8 times: 46×8=368 → 391−368=23
- Bring down 0 → 230
- 46 into 230 → 5 times: 46×5=230 → 0
✔ So, 13,110 ÷ 46 = 285
---
#### 2) 37 ÷ 14948
This is 14,948 ÷ 37
```
404
_______
37|14948
-148
------
144
-148 → too big, so try 0?
Wait, let's do it properly.
```
Better:
- 37 into 149 → 4 times: 37×4=148 → 149−148=1
- Bring down 4 → 14
- 37 into 14 → 0 → write 0
- Bring down 8 → 148
- 37 into 148 → 4 times: 37×4=148 → 0
So:
```
404
_______
37|14948
-148
------
144
- 0
----
148
-148
----
0
```
Wait — actually, after 149 − 148 = 1, bring down 4 → 14 → 37 doesn't go into 14 → place a 0 in quotient → then bring down 8 → 148
So:
- Quotient so far: 40
- Then 148 ÷ 37 = 4 → total quotient: 404
✔ So, 14,948 ÷ 37 = 404
---
#### 3) 27 ÷ 15633
This is 15,633 ÷ 27
```
579
_______
27|15633
-135
------
213
-189
------
243
-243
------
0
```
Steps:
- 27 into 156 → 5 times: 27×5=135 → 156−135=21
- Bring down 3 → 213
- 27 into 213 → 7 times: 27×7=189 → 213−189=24
- Bring down 3 → 243
- 27 into 243 → 9 times: 27×9=243 → 0
✔ So, 15,633 ÷ 27 = 579
---
Set 3:
#### 1) 19 ÷ 13509
This is 13,509 ÷ 19
```
711
_______
19|13509
-133
------
20
-19
----
109
-109
----
0
```
Steps:
- 19 into 135 → 7 times: 19×7=133 → 135−133=2
- Bring down 0 → 20
- 19 into 20 → 1 time: 19×1=19 → 20−19=1
- Bring down 9 → 19
- 19 into 19 → 1 time: 19×1=19 → 0
So quotient: 711
✔ 13,509 ÷ 19 = 711
---
#### 2) 57 ÷ 16416
This is 16,416 ÷ 57
```
288
_______
57|16416
-114
------
501
-456
------
456
-456
------
0
```
Steps:
- 57 into 164 → 2 times: 57×2=114 → 164−114=50
- Bring down 1 → 501
- 57 into 501 → 8 times: 57×8=456 → 501−456=45
- Bring down 6 → 456
- 57 into 456 → 8 times: 57×8=456 → 0
✔ So, 16,416 ÷ 57 = 288
---
#### 3) 54 ÷ 15876
This is 15,876 ÷ 54
```
294
_______
54|15876
-108
------
507
-432
------
756
-540
------
216
-216
------
0
```
Wait — let's fix that.
Actually:
- 54 into 158 → 2 times: 54×2=108 → 158−108=50
- Bring down 7 → 507
- 54 into 507 → 9 times: 54×9=486 → 507−486=21
- Bring down 6 → 216
- 54 into 216 → 4 times: 54×4=216 → 0
So:
```
294
_______
54|15876
-108
------
507
-486
------
216
-216
------
0
```
✔ So, 15,876 ÷ 54 = 294
---
✔ Final Answers:
#### Set 1:
1) 43,493 ÷ 61 = 713
2) 11,480 ÷ 20 = 574
3) 39,872 ÷ 64 = 623
#### Set 2:
1) 13,110 ÷ 46 = 285
2) 14,948 ÷ 37 = 404
3) 15,633 ÷ 27 = 579
#### Set 3:
1) 13,509 ÷ 19 = 711
2) 16,416 ÷ 57 = 288
3) 15,876 ÷ 54 = 294
---
Let me know if you'd like these answers formatted neatly for printing or if you want to check any specific one!
Parent Tip: Review the logic above to help your child master the concept of long division with two digit divisor worksheet.