The image you've uploaded is a step-by-step guide to solving a
long division problem:
74 ÷ 3. Let's go through each step carefully and explain the solution.
---
🔢 Problem:
Divide
74 by 3 using long division.
---
✔ Step-by-Step Solution:
####
1. Divide
We start with the
tens place of the dividend (74).
We ask: *How many times does 3 go into 7?*
- 3 × 2 = 6 → fits into 7
- 3 × 3 = 9 → too big
So,
2 tens go into 7 tens.
>
✔ Write
2 above the 7 in the quotient.
```
2
____
3 | 74
```
---
####
2. Multiply
Now multiply the divisor (3) by the quotient digit (2):
- 3 × 2 = 6 (in tens place → 60)
>
✔ Write
6 below the 7 (representing 60).
```
2
____
3 | 74
6
```
---
####
3. Subtract
Subtract 6 from 7:
- 7 - 6 = 1 → this is
1 ten left.
>
✔ Write
1 below the 6.
```
2
____
3 | 74
6
--
1
```
---
####
4. Bring Down
Bring down the next digit (4) from 74 to make
14 ones.
>
✔ Now we have
14 to divide.
```
2
____
3 | 74
6
--
14
```
---
####
5. Repeat or Find the Remainder
Now divide 14 by 3:
- 3 × 4 = 12 → fits into 14
- 3 × 5 = 15 → too big
So,
4 ones go into 14.
>
✔ Write
4 next to the 2 in the quotient → now it's
24.
Now multiply:
- 3 × 4 = 12
Write
12 below 14.
```
24
____
3 | 74
6
--
14
12
```
Subtract:
- 14 - 12 = 2 → this is the
remainder
```
24
____
3 | 74
6
--
14
12
---
2
```
---
####
6. Check Your Answer
Use the formula:
>
Dividend = Divisor × Quotient + Remainder
Let’s plug in the values:
- Dividend = 74
- Divisor = 3
- Quotient = 24
- Remainder = 2
Check:
> 3 × 24 = 72
> 72 + 2 =
74 ✔
✔️ The answer checks out!
---
🟩 Final Answer:
$$
74 \div 3 = 24 \text{ R } 2
$$
Or as a mixed number:
$$
24 \frac{2}{3}
$$
---
📌 Summary:
-
Quotient: 24
-
Remainder: 2
-
Check: 3 × 24 + 2 = 74 → Correct!
This method teaches
place value understanding and reinforces the logic behind long division.
Let me know if you'd like to see this with decimals or visual models! 😊
Parent Tip: Review the logic above to help your child master the concept of basic division step by step.
