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Division As Repeated Subtraction Worksheet - Free Printable

Division As Repeated Subtraction Worksheet

Educational worksheet: Division As Repeated Subtraction Worksheet. Download and print for classroom or home learning activities.

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Show Answer Key & Explanations Step-by-step solution for: Division As Repeated Subtraction Worksheet
Absolutely! Let’s solve this worksheet step by step using repeated subtraction to understand division.

---

## 🎯 Objective:
Use repeated subtraction to divide.
That means: Keep subtracting the divisor from the dividend until you reach zero. The number of times you subtract is the quotient.

---

# Problem 1: `20 ÷ 5 = ___`

We start with 20 and keep subtracting 5 until we get 0.

Step-by-step subtraction:



1. First subtraction:
```
20
- 5
----
15
```

2. Second subtraction:
```
15
- 5
----
10
```

3. Third subtraction:
```
10
- 5
----
5
```

4. Fourth subtraction:
```
5
- 5
----
0
```

We subtracted 5 a total of 4 times to reach 0.

➡️ So, 20 ÷ 5 = 4

---

Filling in the boxes for Problem 1:



```
20 15 10 5
- 5 - 5 - 5 - 5
---- ---- ---- ----
15 10 5 0
```

> You’ll fill the top boxes (after arrows) with: 15, 10, 5, 0
> And the bottom boxes (results) with: 15, 10, 5, 0

*(Note: The diagram shows 4 subtraction steps — which matches our 4 subtractions.)*

---

# Problem 2: `15 ÷ 3 = ___`

Start with 15, subtract 3 repeatedly until you reach 0.

Step-by-step subtraction:



1. First subtraction:
```
15
- 3
----
12
```

2. Second subtraction:
```
12
- 3
----
9
```

3. Third subtraction:
```
9
- 3
----
6
```

4. Fourth subtraction:
```
6
- 3
----
3
```

5. Fifth subtraction:
```
3
- 3
----
0
```

We subtracted 3 a total of 5 times to reach 0.

➡️ So, 15 ÷ 3 = 5

---

Filling in the boxes for Problem 2:



```
15 12 9 6 3
- 3 - 3 - 3 - 3 - 3
---- ---- ---- ---- ----
12 9 6 3 0
```

> Fill the top boxes (after arrows) with: 12, 9, 6, 3, 0
> And the bottom boxes (results) with: 12, 9, 6, 3, 0

*(The diagram shows 5 subtraction steps — perfect for this problem.)*

---

## 🧠 Final Answers:

1. 20 ÷ 5 = 4
2. 15 ÷ 3 = 5

---

## 💡 Why This Works:

Division is asking: *“How many groups of [divisor] are in [dividend]?”*
Repeated subtraction answers that by physically removing groups one by one — each removal is one group. The count of removals is your answer (the quotient).

---

You’ve now mastered division as repeated subtraction! Great job! 🌟
Parent Tip: Review the logic above to help your child master the concept of repeated subtraction worksheet 2nd grade.
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