Let's solve each of the long division problems on the worksheet step by step.
---
1a. 1914 ÷ 7
We divide 1914 by 7:
```
273
------
7 | 1914
-14
----
51
-49
----
24
-21
----
3
```
So,
1914 ÷ 7 = 273 R3
(Quotient: 273, Remainder: 3)
---
1b. 5177 ÷ 7
Divide 5177 by 7:
```
739
------
7 | 5177
-49
----
27
-21
----
67
-63
----
4
```
So,
5177 ÷ 7 = 739 R4
---
1c. 7646 ÷ 2
Divide 7646 by 2:
```
3823
-------
2 | 7646
-6
---
16
-14
---
24
-22
---
26
-26
---
0
```
So,
7646 ÷ 2 = 3823 R0 →
3823
---
2a. 1436 ÷ 7
Divide 1436 by 7:
```
205
------
7 | 1436
-14
----
03
-0
---
36
-35
----
1
```
So,
1436 ÷ 7 = 205 R1
---
2b. 6365 ÷ 8
Divide 6365 by 8:
```
795
------
8 | 6365
-56
----
76
-72
----
45
-40
----
5
```
So,
6365 ÷ 8 = 795 R5
---
2c. 6078 ÷ 6
Divide 6078 by 6:
```
1013
-------
6 | 6078
-6
---
07
-6
---
18
-18
----
0
```
So,
6078 ÷ 6 = 1013 R0 →
1013
---
3a. 2229 ÷ 9
Divide 2229 by 9:
```
247
------
9 | 2229
-18
----
42
-36
----
69
-63
----
6
```
So,
2229 ÷ 9 = 247 R6
---
3b. 7989 ÷ 2
Divide 7989 by 2:
```
3994
-------
2 | 7989
-6
---
19
-18
---
18
-18
----
9
-8
----
1
```
So,
7989 ÷ 2 = 3994 R1
---
3c. 4178 ÷ 3
Divide 4178 by 3:
```
1392
-------
3 | 4178
-3
---
11
-9
---
27
-27
----
8
-6
----
2
```
So,
4178 ÷ 3 = 1392 R2
---
✔ Final Answers:
| Problem | Answer (Quotient and Remainder) |
|--------|-------------------------------|
| 1a. | 273 R3 |
| 1b. | 739 R4 |
| 1c. | 3823 |
| 2a. | 205 R1 |
| 2b. | 795 R5 |
| 2c. | 1013 |
| 3a. | 247 R6 |
| 3b. | 3994 R1 |
| 3c. | 1392 R2 |
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Parent Tip: Review the logic above to help your child master the concept of long division worksheet 7th grade.