Division Worksheet: 3-digit by 1-digit with Remainder
Math division worksheet featuring 3-digit by 1-digit division problems with remainders, including examples like 9|438, 3|277, and 5|234, designed for educational practice.
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Step-by-step solution for: 3-digits by 1-digits Division Worksheets and Exercise - EngWorksheets
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Show Answer Key & Explanations
Step-by-step solution for: 3-digits by 1-digits Division Worksheets and Exercise - EngWorksheets
Problem Description:
The task is to solve a series of division problems where a 3-digit number is divided by a 1-digit number, and the results include remainders. The worksheet is structured in a grid format with multiple problems.
Solution Approach:
We will solve each division problem step by step using the standard long division method. For each problem, we will:
1. Divide the first digit (or the first two digits if necessary) of the dividend by the divisor.
2. Multiply the quotient by the divisor.
3. Subtract the result from the part of the dividend used.
4. Bring down the next digit and repeat until all digits are processed.
5. Record the final quotient and remainder.
Step-by-Step Solutions:
#### 1. \( 9 \div 438 \)
- Divide: \( 438 \div 9 \)
- \( 9 \times 48 = 432 \)
- Remainder: \( 438 - 432 = 6 \)
- Result: \( 48 \) remainder \( 6 \)
#### 2. \( 3 \div 277 \)
- Divide: \( 277 \div 3 \)
- \( 3 \times 92 = 276 \)
- Remainder: \( 277 - 276 = 1 \)
- Result: \( 92 \) remainder \( 1 \)
#### 3. \( 5 \div 234 \)
- Divide: \( 234 \div 5 \)
- \( 5 \times 46 = 230 \)
- Remainder: \( 234 - 230 = 4 \)
- Result: \( 46 \) remainder \( 4 \)
#### 4. \( 2 \div 394 \)
- Divide: \( 394 \div 2 \)
- \( 2 \times 197 = 394 \)
- Remainder: \( 394 - 394 = 0 \)
- Result: \( 197 \) remainder \( 0 \)
#### 5. \( 7 \div 333 \)
- Divide: \( 333 \div 7 \)
- \( 7 \times 47 = 329 \)
- Remainder: \( 333 - 329 = 4 \)
- Result: \( 47 \) remainder \( 4 \)
#### 6. \( 8 \div 225 \)
- Divide: \( 225 \div 8 \)
- \( 8 \times 28 = 224 \)
- Remainder: \( 225 - 224 = 1 \)
- Result: \( 28 \) remainder \( 1 \)
#### 7. \( 4 \div 246 \)
- Divide: \( 246 \div 4 \)
- \( 4 \times 61 = 244 \)
- Remainder: \( 246 - 244 = 2 \)
- Result: \( 61 \) remainder \( 2 \)
#### 8. \( 6 \div 301 \)
- Divide: \( 301 \div 6 \)
- \( 6 \times 50 = 300 \)
- Remainder: \( 301 - 300 = 1 \)
- Result: \( 50 \) remainder \( 1 \)
#### 9. \( 2 \div 489 \)
- Divide: \( 489 \div 2 \)
- \( 2 \times 244 = 488 \)
- Remainder: \( 489 - 488 = 1 \)
- Result: \( 244 \) remainder \( 1 \)
#### 10. \( 2 \div 163 \)
- Divide: \( 163 \div 2 \)
- \( 2 \times 81 = 162 \)
- Remainder: \( 163 - 162 = 1 \)
- Result: \( 81 \) remainder \( 1 \)
#### 11. \( 3 \div 220 \)
- Divide: \( 220 \div 3 \)
- \( 3 \times 73 = 219 \)
- Remainder: \( 220 - 219 = 1 \)
- Result: \( 73 \) remainder \( 1 \)
#### 12. \( 6 \div 371 \)
- Divide: \( 371 \div 6 \)
- \( 6 \times 61 = 366 \)
- Remainder: \( 371 - 366 = 5 \)
- Result: \( 61 \) remainder \( 5 \)
#### 13. \( 5 \div 576 \)
- Divide: \( 576 \div 5 \)
- \( 5 \times 115 = 575 \)
- Remainder: \( 576 - 575 = 1 \)
- Result: \( 115 \) remainder \( 1 \)
#### 14. \( 2 \div 300 \)
- Divide: \( 300 \div 2 \)
- \( 2 \times 150 = 300 \)
- Remainder: \( 300 - 300 = 0 \)
- Result: \( 150 \) remainder \( 0 \)
#### 15. \( 8 \div 217 \)
- Divide: \( 217 \div 8 \)
- \( 8 \times 27 = 216 \)
- Remainder: \( 217 - 216 = 1 \)
- Result: \( 27 \) remainder \( 1 \)
#### 16. \( 2 \div 351 \)
- Divide: \( 351 \div 2 \)
- \( 2 \times 175 = 350 \)
- Remainder: \( 351 - 350 = 1 \)
- Result: \( 175 \) remainder \( 1 \)
#### 17. \( 7 \div 319 \)
- Divide: \( 319 \div 7 \)
- \( 7 \times 45 = 315 \)
- Remainder: \( 319 - 315 = 4 \)
- Result: \( 45 \) remainder \( 4 \)
#### 18. \( 4 \div 475 \)
- Divide: \( 475 \div 4 \)
- \( 4 \times 118 = 472 \)
- Remainder: \( 475 - 472 = 3 \)
- Result: \( 118 \) remainder \( 3 \)
#### 19. \( 9 \div 533 \)
- Divide: \( 533 \div 9 \)
- \( 9 \times 59 = 531 \)
- Remainder: \( 533 - 531 = 2 \)
- Result: \( 59 \) remainder \( 2 \)
#### 20. \( 7 \div 386 \)
- Divide: \( 386 \div 7 \)
- \( 7 \times 55 = 385 \)
- Remainder: \( 386 - 385 = 1 \)
- Result: \( 55 \) remainder \( 1 \)
Final Answers:
\[
\boxed{
\begin{array}{cccc}
48 \text{ R } 6 & 92 \text{ R } 1 & 46 \text{ R } 4 & 197 \text{ R } 0 \\
47 \text{ R } 4 & 28 \text{ R } 1 & 61 \text{ R } 2 & 50 \text{ R } 1 \\
244 \text{ R } 1 & 81 \text{ R } 1 & 73 \text{ R } 1 & 61 \text{ R } 5 \\
115 \text{ R } 1 & 150 \text{ R } 0 & 27 \text{ R } 1 & 175 \text{ R } 1 \\
45 \text{ R } 4 & 118 \text{ R } 3 & 59 \text{ R } 2 & 55 \text{ R } 1 \\
\end{array}
}
\]
Parent Tip: Review the logic above to help your child master the concept of 3 digit division worksheet.