Grade 5 long division worksheet focusing on single-digit division without remainders.

Let's solve each of the long division problems on the worksheet step by step. The goal is to divide each number by a single-digit divisor and find the quotient (with no remainder).

---

1. 2 | 4,050

We are dividing 4,050 ÷ 2.

- 2 goes into 4 → 2 times → write 2
- Bring down 0 → 2 goes into 0 → 0 times → write 0
- Bring down 5 → 2 goes into 5 → 2 times → write 2, remainder 1
- Bring down 0 → 2 goes into 10 → 5 times → write 5

So:
```
2025
------
2 | 4050
-4
---
05
-4
---
10
-10
---
0
```

✔ Answer: 2,025

---

2. 9 | 6,833

Divide 6,833 ÷ 9

- 9 goes into 6 → 0 → write 0 (we'll consider 68)
- 9 into 68 → 7 times (7×9=63) → subtract → 68−63=5
- Bring down 3 → 53
- 9 into 53 → 5 times (5×9=45) → subtract → 53−45=8
- Bring down 3 → 83
- 9 into 83 → 9 times (9×9=81) → subtract → 83−81=2

But wait — there’s a remainder of 2, but the problem says no remainder. Let’s double-check.

Wait — let's verify if 6,833 is divisible by 9.

Sum of digits: 6+8+3+3 = 20 → not divisible by 9 → so remainder should exist.

But the worksheet says "no remainder", so perhaps it's a typo or we made an error?

Wait — maybe I miscalculated.

Let me do it carefully:

```
759
-----
9 | 6833
-63
----
53
-45
----
83
-81
----
2 ← remainder!
```

So 6,833 ÷ 9 = 759 R2 → has a remainder.

But the worksheet says “no remainder.” So either:
- The number is wrong
- Or it's meant to be a different number

Wait — check if 6,833 is divisible by 9? No, because sum of digits is 20, not divisible by 9.

But let's assume the problem is correct and see if we can proceed.

Wait — perhaps I misread. Let me recheck the original image.

Looking at the worksheet:
It says "Long division by single digit (no remainder)", so all problems should have exact division.

So likely, 6,833 might be a typo. But let’s assume it's correct and try again.

Wait — maybe it's 6,832? 6+8+3+2=19 → still not divisible.

Or 6,837? 6+8+3+7=24 → not divisible.

Wait — 9 × 759 = 6,831 → 6,833 − 6,831 = 2 → yes, remainder 2.

So unless the number is wrong, this one has a remainder.

But since the worksheet specifies "no remainder", perhaps it's a mistake.

Alternatively, maybe I'm supposed to ignore that and just compute.

But let’s move forward and come back.

Wait — maybe it's 6,833 and it's supposed to be divisible.

Let’s check: 9 × 759 = 6,831 → 6,833 − 6,831 = 2 → remainder 2.

So not divisible.

Perhaps it's 6,840? 6+8+4+0=18 → divisible by 9.

But as per the image: it's 6,833.

Let’s skip for now and come back.

---

3. 2 | 2,780

Divide 2,780 ÷ 2

- 2 into 2 → 1 → write 1
- 2 into 7 → 3 → 3×2=6 → subtract → 1
- Bring down 8 → 18 → 2 into 18 → 9 → write 9
- Bring down 0 → 0 → 0

So:
```
1390
-------
2 | 2780
-2
---
7
-6
---
18
-18
---
0
```

✔ Answer: 1,390

---

4. 7 | 6,062

Divide 6,062 ÷ 7

- 7 into 6 → 0 → look at 60
- 7 into 60 → 8 times (8×7=56) → subtract → 60−56=4
- Bring down 6 → 46
- 7 into 46 → 6 times (6×7=42) → subtract → 4
- Bring down 2 → 42
- 7 into 42 → 6 times → 6×7=42 → 0

So:
```
866
------
7 | 6062
-56
----
46
-42
----
42
-42
----
0
```

✔ Answer: 866

---

5. 2 | 1,846

Divide 1,846 ÷ 2

- 2 into 1 → 0 → look at 18
- 2 into 18 → 9 → 9×2=18 → subtract → 0
- Bring down 4 → 4 → 2 into 4 → 2 → write 2
- Bring down 6 → 6 → 2 into 6 → 3 → write 3

So:
```
923
------
2 | 1846
-18
----
4
-4
---
6
-6
---
0
```

✔ Answer: 923

---

6. 6 | 9,972

Divide 9,972 ÷ 6

- 6 into 9 → 1 → 1×6=6 → subtract → 3
- Bring down 9 → 39 → 6 into 39 → 6 → 6×6=36 → subtract → 3
- Bring down 7 → 37 → 6 into 37 → 6 → 6×6=36 → subtract → 1
- Bring down 2 → 12 → 6 into 12 → 2 → 2×6=12 → 0

So:
```
1662
-------
6 | 9972
-6
---
39
-36
----
37
-36
----
12
-12
----
0
```

✔ Answer: 1,662

---

7. 4 | 8,052

Divide 8,052 ÷ 4

- 4 into 8 → 2 → write 2
- 4 into 0 → 0 → write 0
- 4 into 5 → 1 → 1×4=4 → subtract → 1
- Bring down 2 → 12 → 4 into 12 → 3 → write 3

So:
```
2013
-------
4 | 8052
-8
---
0
-0
---
5
-4
---
12
-12
----
0
```

✔ Answer: 2,013

---

8. 3 | 4,686

Divide 4,686 ÷ 3

- 3 into 4 → 1 → 1×3=3 → subtract → 1
- Bring down 6 → 16 → 3 into 16 → 5 → 5×3=15 → subtract → 1
- Bring down 8 → 18 → 3 into 18 → 6 → write 6
- Bring down 6 → 6 → 3 into 6 → 2 → write 2

So:
```
1562
-------
3 | 4686
-3
---
16
-15
----
18
-18
----
6
-6
---
0
```

✔ Answer: 1,562

---

9. 3 | 7,200

Divide 7,200 ÷ 3

- 3 into 7 → 2 → 2×3=6 → subtract → 1
- Bring down 2 → 12 → 3 into 12 → 4 → write 4
- Bring down 0 → 0 → 3 into 0 → 0 → write 0
- Bring down 0 → 0 → 0 → write 0

So:
```
2400
-------
3 | 7200
-6
---
12
-12
----
0
-0
---
0
-0
---
0
```

✔ Answer: 2,400

---

Now go back to Problem 2: 9 | 6,833

We found that 6,833 ÷ 9 = 759 R2, which has a remainder.

But the worksheet says “no remainder”.

Let’s double-check the number: 6,833

Is it possible it's 6,831?

6,831 ÷ 9 = ?

Sum of digits: 6+8+3+1=18 → divisible by 9.

9 × 759 = 6,831 → yes.

So if it were 6,831, then answer would be 759

But it says 6,833.

Alternatively, maybe it's 6,840?

6,840 ÷ 9 = 760 → 9×760=6,840

But as written, it's 6,833

So unless there's a typo, this one has a remainder.

But since the instruction says "no remainder", perhaps it's intended to be 6,831 or 6,840.

Alternatively, maybe I need to accept it as is.

But let's assume the problem is correct and recompute.

Wait — perhaps I made a mistake in earlier steps.

Try: 9 × 759 = 6,831 → 6,833 − 6,831 = 2 → remainder 2

So not divisible.

Therefore, this problem has a remainder, contradicting the worksheet title.

Possibility: It's a typo, and it should be 6,831 or 6,840.

But based on what's written, we must go with 6,833

So either:
- There's a typo
- Or the worksheet allows remainders despite saying "no remainder"

But since the title says "no remainder", it's likely a typo.

Let’s suppose it's 6,831 instead.

Then:
```
759
------
9 | 6831
-63
----
53
-45
----
81
-81
----
0
```

So answer: 759

But as written: 6,833

So unless corrected, we cannot get exact division.

---

Final Answers (assuming typo in #2):

| Problem | Division | Quotient |
|--------|------------------|----------|
| 1 | 4,050 ÷ 2 | 2,025 |
| 2 | 6,833 ÷ 9 | ✘ Not divisible (remainder 2) → possibly typo |
| 3 | 2,780 ÷ 2 | 1,390 |
| 4 | 6,062 ÷ 7 | 866 |
| 5 | 1,846 ÷ 2 | 923 |
| 6 | 9,972 ÷ 6 | 1,662 |
| 7 | 8,052 ÷ 4 | 2,013 |
| 8 | 4,686 ÷ 3 | 1,562 |
| 9 | 7,200 ÷ 3 | 2,400 |

---

✔ Corrected Answer for Problem 2:

If the number was meant to be 6,831, then:
> 6,831 ÷ 9 = 759

Otherwise, if it's truly 6,833, then:
> 6,833 ÷ 9 = 759 R2 — which contradicts the "no remainder" instruction.

---

✔ Final Answers (assuming typo fixed):

1. 2,025
2. 759 *(assuming 6,831 instead of 6,833)*
3. 1,390
4. 866
5. 923
6. 1,662
7. 2,013
8. 1,562
9. 2,400

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Let me know if you'd like the full long division steps for any specific problem!