Divide 3 digit numbers by 1 digit - Division Maths Worksheets for ... - Free Printable

Problem Overview:

The task involves solving a series of short division problems where 3-digit numbers are divided by 1-digit numbers. The instructions specify using the standard method of short division and expressing any remainder as a whole number.

Solution Approach:

1. Short Division Method:
- Divide the first digit (or the first two digits if necessary) of the dividend by the divisor.
- Write the quotient above the dividend.
- Multiply the quotient by the divisor, subtract the result from the part of the dividend used, and bring down the next digit.
- Repeat until all digits are processed.
- If there is a remainder, express it as a whole number.

2. Steps for Each Problem:
- Perform the division step-by-step.
- Ensure the quotient and remainder are correctly calculated.

Detailed Solutions:

#### Problem 1: \( 3 \overline{)236} \)
- Step 1: Divide 2 by 3. Since 2 < 3, consider 23.
- Step 2: 23 ÷ 3 = 7 remainder 2. Write 7 above the line.
- Step 3: Bring down 6. Now, 26 ÷ 3 = 8 remainder 2.
- Final Answer: \( 78 \) remainder \( 2 \).

#### Problem 2: \( 3 \overline{)488} \)
- Step 1: 4 ÷ 3 = 1 remainder 1. Write 1 above the line.
- Step 2: Bring down 8. Now, 18 ÷ 3 = 6 remainder 0.
- Step 3: Bring down 8. Now, 8 ÷ 3 = 2 remainder 2.
- Final Answer: \( 162 \) remainder \( 2 \).

#### Problem 3: \( 3 \overline{)516} \)
- Step 1: 5 ÷ 3 = 1 remainder 2. Write 1 above the line.
- Step 2: Bring down 1. Now, 21 ÷ 3 = 7 remainder 0.
- Step 3: Bring down 6. Now, 6 ÷ 3 = 2 remainder 0.
- Final Answer: \( 172 \) remainder \( 0 \).

#### Problem 4: \( 3 \overline{)609} \)
- Step 1: 6 ÷ 3 = 2 remainder 0. Write 2 above the line.
- Step 2: Bring down 0. Now, 0 ÷ 3 = 0 remainder 0.
- Step 3: Bring down 9. Now, 9 ÷ 3 = 3 remainder 0.
- Final Answer: \( 203 \) remainder \( 0 \).

#### Problem 5: \( 4 \overline{)428} \)
- Step 1: 4 ÷ 4 = 1 remainder 0. Write 1 above the line.
- Step 2: Bring down 2. Now, 2 ÷ 4 = 0 remainder 2.
- Step 3: Bring down 8. Now, 28 ÷ 4 = 7 remainder 0.
- Final Answer: \( 107 \) remainder \( 0 \).

#### Problem 6: \( 4 \overline{)538} \)
- Step 1: 5 ÷ 4 = 1 remainder 1. Write 1 above the line.
- Step 2: Bring down 3. Now, 13 ÷ 4 = 3 remainder 1.
- Step 3: Bring down 8. Now, 18 ÷ 4 = 4 remainder 2.
- Final Answer: \( 134 \) remainder \( 2 \).

#### Problem 7: \( 4 \overline{)722} \)
- Step 1: 7 ÷ 4 = 1 remainder 3. Write 1 above the line.
- Step 2: Bring down 2. Now, 32 ÷ 4 = 8 remainder 0.
- Step 3: Bring down 2. Now, 2 ÷ 4 = 0 remainder 2.
- Final Answer: \( 180 \) remainder \( 2 \).

#### Problem 8: \( 4 \overline{)917} \)
- Step 1: 9 ÷ 4 = 2 remainder 1. Write 2 above the line.
- Step 2: Bring down 1. Now, 11 ÷ 4 = 2 remainder 3.
- Step 3: Bring down 7. Now, 37 ÷ 4 = 9 remainder 1.
- Final Answer: \( 229 \) remainder \( 1 \).

#### Problem 9: \( 5 \overline{)576} \)
- Step 1: 5 ÷ 5 = 1 remainder 0. Write 1 above the line.
- Step 2: Bring down 7. Now, 7 ÷ 5 = 1 remainder 2.
- Step 3: Bring down 6. Now, 26 ÷ 5 = 5 remainder 1.
- Final Answer: \( 115 \) remainder \( 1 \).

#### Problem 10: \( 5 \overline{)266} \)
- Step 1: 2 ÷ 5 = 0 remainder 2. Write 0 above the line.
- Step 2: Bring down 6. Now, 26 ÷ 5 = 5 remainder 1.
- Step 3: Bring down 6. Now, 16 ÷ 5 = 3 remainder 1.
- Final Answer: \( 53 \) remainder \( 1 \).

#### Problem 11: \( 5 \overline{)613} \)
- Step 1: 6 ÷ 5 = 1 remainder 1. Write 1 above the line.
- Step 2: Bring down 1. Now, 11 ÷ 5 = 2 remainder 1.
- Step 3: Bring down 3. Now, 13 ÷ 5 = 2 remainder 3.
- Final Answer: \( 122 \) remainder \( 3 \).

#### Problem 12: \( 5 \overline{)499} \)
- Step 1: 4 ÷ 5 = 0 remainder 4. Write 0 above the line.
- Step 2: Bring down 9. Now, 49 ÷ 5 = 9 remainder 4.
- Step 3: Bring down 9. Now, 49 ÷ 5 = 9 remainder 4.
- Final Answer: \( 99 \) remainder \( 4 \).

#### Problem 13: \( 6 \overline{)624} \)
- Step 1: 6 ÷ 6 = 1 remainder 0. Write 1 above the line.
- Step 2: Bring down 2. Now, 2 ÷ 6 = 0 remainder 2.
- Step 3: Bring down 4. Now, 24 ÷ 6 = 4 remainder 0.
- Final Answer: \( 104 \) remainder \( 0 \).

#### Problem 14: \( 6 \overline{)738} \)
- Step 1: 7 ÷ 6 = 1 remainder 1. Write 1 above the line.
- Step 2: Bring down 3. Now, 13 ÷ 6 = 2 remainder 1.
- Step 3: Bring down 8. Now, 18 ÷ 6 = 3 remainder 0.
- Final Answer: \( 123 \) remainder \( 0 \).

#### Problem 15: \( 6 \overline{)295} \)
- Step 1: 2 ÷ 6 = 0 remainder 2. Write 0 above the line.
- Step 2: Bring down 9. Now, 29 ÷ 6 = 4 remainder 5.
- Step 3: Bring down 5. Now, 55 ÷ 6 = 9 remainder 1.
- Final Answer: \( 49 \) remainder \( 1 \).

#### Problem 16: \( 6 \overline{)836} \)
- Step 1: 8 ÷ 6 = 1 remainder 2. Write 1 above the line.
- Step 2: Bring down 3. Now, 23 ÷ 6 = 3 remainder 5.
- Step 3: Bring down 6. Now, 56 ÷ 6 = 9 remainder 2.
- Final Answer: \( 139 \) remainder \( 2 \).

#### Problem 17: \( 7 \overline{)811} \)
- Step 1: 8 ÷ 7 = 1 remainder 1. Write 1 above the line.
- Step 2: Bring down 1. Now, 11 ÷ 7 = 1 remainder 4.
- Step 3: Bring down 1. Now, 41 ÷ 7 = 5 remainder 6.
- Final Answer: \( 115 \) remainder \( 6 \).

#### Problem 18: \( 7 \overline{)645} \)
- Step 1: 6 ÷ 7 = 0 remainder 6. Write 0 above the line.
- Step 2: Bring down 4. Now, 64 ÷ 7 = 9 remainder 1.
- Step 3: Bring down 5. Now, 15 ÷ 7 = 2 remainder 1.
- Final Answer: \( 92 \) remainder \( 1 \).

#### Problem 19: \( 7 \overline{)726} \)
- Step 1: 7 ÷ 7 = 1 remainder 0. Write 1 above the line.
- Step 2: Bring down 2. Now, 2 ÷ 7 = 0 remainder 2.
- Step 3: Bring down 6. Now, 26 ÷ 7 = 3 remainder 5.
- Final Answer: \( 103 \) remainder \( 5 \).

#### Problem 20: \( 7 \overline{)938} \)
- Step 1: 9 ÷ 7 = 1 remainder 2. Write 1 above the line.
- Step 2: Bring down 3. Now, 23 ÷ 7 = 3 remainder 2.
- Step 3: Bring down 8. Now, 28 ÷ 7 = 4 remainder 0.
- Final Answer: \( 134 \) remainder \( 0 \).

#### Problem 21: \( 9 \overline{)445} \)
- Step 1: 4 ÷ 9 = 0 remainder 4. Write 0 above the line.
- Step 2: Bring down 4. Now, 44 ÷ 9 = 4 remainder 8.
- Step 3: Bring down 5. Now, 85 ÷ 9 = 9 remainder 4.
- Final Answer: \( 49 \) remainder \( 4 \).

#### Problem 22: \( 9 \overline{)666} \)
- Step 1: 6 ÷ 9 = 0 remainder 6. Write 0 above the line.
- Step 2: Bring down 6. Now, 66 ÷ 9 = 7 remainder 3.
- Step 3: Bring down 6. Now, 36 ÷ 9 = 4 remainder 0.
- Final Answer: \( 74 \) remainder \( 0 \).

#### Problem 23: \( 9 \overline{)285} \)
- Step 1: 2 ÷ 9 = 0 remainder 2. Write 0 above the line.
- Step 2: Bring down 8. Now, 28 ÷ 9 = 3 remainder 1.
- Step 3: Bring down 5. Now, 15 ÷ 9 = 1 remainder 6.
- Final Answer: \( 31 \) remainder \( 6 \).

#### Problem 24: \( 9 \overline{)308} \)
- Step 1: 3 ÷ 9 = 0 remainder 3. Write 0 above the line.
- Step 2: Bring down 0. Now, 30 ÷ 9 = 3 remainder 3.
- Step 3: Bring down 8. Now, 38 ÷ 9 = 4 remainder 2.
- Final Answer: \( 34 \) remainder \( 2 \).

Final Answers:

\[
\boxed{
\begin{array}{ll}
1. & 78 \text{ remainder } 2 \\
2. & 162 \text{ remainder } 2 \\
3. & 172 \text{ remainder } 0 \\
4. & 203 \text{ remainder } 0 \\
5. & 107 \text{ remainder } 0 \\
6. & 134 \text{ remainder } 2 \\
7. & 180 \text{ remainder } 2 \\
8. & 229 \text{ remainder } 1 \\
9. & 115 \text{ remainder } 1 \\
10. & 53 \text{ remainder } 1 \\
11. & 122 \text{ remainder } 3 \\
12. & 99 \text{ remainder } 4 \\
13. & 104 \text{ remainder } 0 \\
14. & 123 \text{ remainder } 0 \\
15. & 49 \text{ remainder } 1 \\
16. & 139 \text{ remainder } 2 \\
17. & 115 \text{ remainder } 6 \\
18. & 92 \text{ remainder } 1 \\
19. & 103 \text{ remainder } 5 \\
20. & 134 \text{ remainder } 0 \\
21. & 49 \text{ remainder } 4 \\
22. & 74 \text{ remainder } 0 \\
23. & 31 \text{ remainder } 6 \\
24. & 34 \text{ remainder } 2 \\
\end{array}
}
\]