Dividing Decimals Worksheets - Math Monks - Free Printable
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Step-by-step solution for: Dividing Decimals Worksheets - Math Monks
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Show Answer Key & Explanations
Step-by-step solution for: Dividing Decimals Worksheets - Math Monks
Absolutely! Let’s solve each of these dividing decimals by whole numbers problems step by step. The key idea is to perform long division, keeping the decimal point in the quotient aligned with the decimal point in the dividend.
---
When dividing a decimal by a whole number:
1. Place the decimal point in the quotient directly above the decimal point in the dividend.
2. Divide as you would with whole numbers.
3. Add zeros to the dividend if needed to continue dividing.
---
## ✔ Problem 1: 0.88 ÷ 2
```
0.44
2 )0.88
0
---
8
8
--
08
8
--
0
```
✔ Answer: 0.44
---
## ✔ Problem 2: 66.7 ÷ 9
```
7.411...
9 )66.700
63
---
37
36
---
10
9
---
10
9
---
1 → repeating
```
We can round to 3 decimal places: 7.411
But let's check exact value:
66.7 ÷ 9 = 667/90 = 7.411... (repeating)
✔ Answer: 7.411 (rounded to 3 decimal places)
*(Or 7.4\overline{1} if repeating decimal is preferred)*
---
## ✔ Problem 3: 0.467 ÷ 9
```
0.05188...
9 )0.46700
0
---
46
45
---
17
9
---
80
81 → too big, so 0? Wait — let’s do it carefully:
Actually:
0.05188...
9 )0.467000
0
---
46
45 → 5 × 9 = 45
---
17
9 → 1 × 9 = 9
---
80
72 → 8 × 9 = 72
---
80
72
---
8 → repeat
So: 0.051888... = 0.051\overline{8}
✔ Answer: 0.0519 (rounded to 4 decimal places)
---
## ✔ Problem 4: 33.9 ÷ 8
```
4.2375
8 )33.9000
32
---
19
16
---
30
24
---
60
56
---
40
40
---
0
```
✔ Answer: 4.2375
---
## ✔ Problem 5: 121.30 ÷ 11
```
11.02727...
11 )121.3000
11
---
11
11
---
03
0
---
30
22
---
80
77
---
30
22
---
80 → repeats
So: 11.02727... = 11.0\overline{27}
✔ Answer: 11.027 (rounded to 3 decimal places)
---
## ✔ Problem 6: 168.98 ÷ 32
```
5.280625
32 )168.980000
160
----
89
64
---
258
256
----
20
0
---
200
192
----
80
64
----
160
160
----
0
```
✔ Answer: 5.280625
---
## ✔ Problem 7: 275.15 ÷ 15
```
18.3433...
15 )275.1500
15
---
125
120
---
51
45
---
65
60
---
50
45
---
50 → repeats
So: 18.3433... = 18.3\overline{4} or 18.343 (rounded)
✔ Answer: 18.343 (rounded to 3 decimal places)
---
## ✔ Problem 8: 280.92 ÷ 92
```
3.053478...
92 )280.920000
276
----
49
0
---
492
460
----
320
276
----
440
368
----
720
644
----
760
644
----
116 → continues...
Let’s compute:
280.92 ÷ 92 = ?
92 × 3 = 276 → remainder 4.92
4.92 ÷ 92 = 0.053478...
So total = 3.053478...
✔ Answer: 3.053 (rounded to 3 decimal places)
---
## ✔ Problem 9: 1050.256 ÷ 50
```
21.00512
50 )1050.256
100
----
50
50
----
02
0
---
25
0
---
256
250
----
60
50
----
100
100
----
0
```
✔ Answer: 21.00512
---
## 🧾 Final Answers (Rounded to 3 decimal places unless exact):
1. 0.440
2. 7.411
3. 0.052
4. 4.238
5. 11.027
6. 5.281
7. 18.343
8. 3.053
9. 21.005
*(Note: For #3, 0.467 ÷ 9 = 0.051888... → rounded to 0.052)*
---
✔ You can write these answers on your worksheet!
Let me know if you want to see any step-by-step long division written out more fully!
---
📌 General Rule:
When dividing a decimal by a whole number:
1. Place the decimal point in the quotient directly above the decimal point in the dividend.
2. Divide as you would with whole numbers.
3. Add zeros to the dividend if needed to continue dividing.
---
## ✔ Problem 1: 0.88 ÷ 2
```
0.44
2 )0.88
0
---
8
8
--
08
8
--
0
```
✔ Answer: 0.44
---
## ✔ Problem 2: 66.7 ÷ 9
```
7.411...
9 )66.700
63
---
37
36
---
10
9
---
10
9
---
1 → repeating
```
We can round to 3 decimal places: 7.411
But let's check exact value:
66.7 ÷ 9 = 667/90 = 7.411... (repeating)
✔ Answer: 7.411 (rounded to 3 decimal places)
*(Or 7.4\overline{1} if repeating decimal is preferred)*
---
## ✔ Problem 3: 0.467 ÷ 9
```
0.05188...
9 )0.46700
0
---
46
45
---
17
9
---
80
81 → too big, so 0? Wait — let’s do it carefully:
Actually:
0.05188...
9 )0.467000
0
---
46
45 → 5 × 9 = 45
---
17
9 → 1 × 9 = 9
---
80
72 → 8 × 9 = 72
---
80
72
---
8 → repeat
So: 0.051888... = 0.051\overline{8}
✔ Answer: 0.0519 (rounded to 4 decimal places)
---
## ✔ Problem 4: 33.9 ÷ 8
```
4.2375
8 )33.9000
32
---
19
16
---
30
24
---
60
56
---
40
40
---
0
```
✔ Answer: 4.2375
---
## ✔ Problem 5: 121.30 ÷ 11
```
11.02727...
11 )121.3000
11
---
11
11
---
03
0
---
30
22
---
80
77
---
30
22
---
80 → repeats
So: 11.02727... = 11.0\overline{27}
✔ Answer: 11.027 (rounded to 3 decimal places)
---
## ✔ Problem 6: 168.98 ÷ 32
```
5.280625
32 )168.980000
160
----
89
64
---
258
256
----
20
0
---
200
192
----
80
64
----
160
160
----
0
```
✔ Answer: 5.280625
---
## ✔ Problem 7: 275.15 ÷ 15
```
18.3433...
15 )275.1500
15
---
125
120
---
51
45
---
65
60
---
50
45
---
50 → repeats
So: 18.3433... = 18.3\overline{4} or 18.343 (rounded)
✔ Answer: 18.343 (rounded to 3 decimal places)
---
## ✔ Problem 8: 280.92 ÷ 92
```
3.053478...
92 )280.920000
276
----
49
0
---
492
460
----
320
276
----
440
368
----
720
644
----
760
644
----
116 → continues...
Let’s compute:
280.92 ÷ 92 = ?
92 × 3 = 276 → remainder 4.92
4.92 ÷ 92 = 0.053478...
So total = 3.053478...
✔ Answer: 3.053 (rounded to 3 decimal places)
---
## ✔ Problem 9: 1050.256 ÷ 50
```
21.00512
50 )1050.256
100
----
50
50
----
02
0
---
25
0
---
256
250
----
60
50
----
100
100
----
0
```
✔ Answer: 21.00512
---
## 🧾 Final Answers (Rounded to 3 decimal places unless exact):
1. 0.440
2. 7.411
3. 0.052
4. 4.238
5. 11.027
6. 5.281
7. 18.343
8. 3.053
9. 21.005
*(Note: For #3, 0.467 ÷ 9 = 0.051888... → rounded to 0.052)*
---
✔ You can write these answers on your worksheet!
Let me know if you want to see any step-by-step long division written out more fully!
Parent Tip: Review the logic above to help your child master the concept of worksheet dividing decimals 6th grade.