WorkSheet-Division - Zero in Quotient | PDF - Free Printable

Let's solve each of these long division problems step by step, paying special attention to when a zero appears in the quotient, as indicated by the title "ZERO IN QUOTIENT – DIVISION".

---

1. 25640 ÷ 8

We divide 25640 by 8.

```
3205
_______
8 | 25640
-24
----
16
-16
----
04
- 0
----
40
-40
----
0
```

Step-by-step:
- 8 goes into 25 → 3 times (3×8=24), subtract → 1
- Bring down 6 → 16
- 8 goes into 16 → 2 times (2×8=16), subtract → 0
- Bring down 4 → 4
- 8 goes into 4 → 0 times → write 0 in quotient
- Bring down 0 → 40
- 8 goes into 40 → 5 times (5×8=40)

✔ Quotient: 3205
Note: A zero appears in the quotient here (in the tens place).

---

2. 450505 ÷ 5

Divide 450505 by 5.

```
90101
________
5 | 450505
-45
----
00
- 0
----
5
-5
---
0
-0
---
5
-5
---
0
```

Step-by-step:
- 5 into 45 → 9 (9×5=45), subtract → 0
- Bring down 0 → 0
- 5 into 0 → 0 → write 0 in quotient
- Bring down 5 → 5
- 5 into 5 → 1 → write 1
- Bring down 0 → 0 → 5 into 0 → 0 → write 0
- Bring down 5 → 5 → 5 into 5 → 1

So quotient is: 90101

✔ Quotient: 90101
Note: Two zeros appear in the quotient.

---

3. 1836 ÷ 9

Divide 1836 by 9.

```
204
_____
9 | 1836
-18
----
03
- 0
----
36
-36
----
0
```

Step-by-step:
- 9 into 18 → 2 (2×9=18), subtract → 0
- Bring down 3 → 3
- 9 into 3 → 0 → write 0 in quotient
- Bring down 6 → 36
- 9 into 36 → 4 (4×9=36)

✔ Quotient: 204
Zero appears in the tens place.

---

4. 2412 ÷ 6

Divide 2412 by 6.

```
402
_____
6 | 2412
-24
----
01
- 0
----
12
-12
----
0
```

Step-by-step:
- 6 into 24 → 4 (4×6=24), subtract → 0
- Bring down 1 → 1
- 6 into 1 → 0 → write 0 in quotient
- Bring down 2 → 12
- 6 into 12 → 2 (2×6=12)

✔ Quotient: 402
Zero appears in the tens place.

---

5. 2149 ÷ 7

Divide 2149 by 7.

```
307
_____
7 | 2149
-21
----
04
- 0
----
49
-49
----
0
```

Step-by-step:
- 7 into 21 → 3 (3×7=21), subtract → 0
- Bring down 4 → 4
- 7 into 4 → 0 → write 0 in quotient
- Bring down 9 → 49
- 7 into 49 → 7 (7×7=49)

✔ Quotient: 307
Zero appears in the tens place.

---

6. 7560 ÷ 15

Divide 7560 by 15.

```
504
_____
15 | 7560
-75
----
06
- 0
----
60
-60
----
0
```

Step-by-step:
- 15 into 75 → 5 (5×15=75), subtract → 0
- Bring down 6 → 6
- 15 into 6 → 0 → write 0 in quotient
- Bring down 0 → 60
- 15 into 60 → 4 (4×15=60)

✔ Quotient: 504
Zero appears in the tens place.

---

✔ Final Answers:

| Problem | Quotient |
|-------------------|----------|
| 25640 ÷ 8 | 3205 |
| 450505 ÷ 5 | 90101 |
| 1836 ÷ 9 | 204 |
| 2412 ÷ 6 | 402 |
| 2149 ÷ 7 | 307 |
| 7560 ÷ 15 | 504 |

---

🔍 Key Concept: When does a zero appear in the quotient?

A zero appears in the quotient when, during long division, the current number formed by bringing down digits is less than the divisor, so we place a 0 in that digit place and continue.

For example:
- In 2149 ÷ 7: After dividing 21, we bring down 4 → 4 < 7 → so we put 0 in the tens place.
- Then bring down 9 → 49, which is divisible.

This is why all these examples have a zero in the quotient — they involve cases where a digit or group of digits is too small to be divided by the divisor at a certain step.

---

Let me know if you'd like these written out in a printable format!