Long Division: 9998 ÷ 20

"Long Division Calculator" Calculator

Dividend (number to be divided)

Divisor (number to divide by)

How to divide 9998 by 20 using long division and find the remainder?

Answer: 9998 ÷ 20 = 499 remainder 18
9998 ÷ 20 = 499 remainder 18

Visual Long Division

 
 
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This shows the traditional long division layout used in schools, with each step clearly marked.

Step-by-Step Explanation

Here's how to solve 9998 ÷ 20 using long division method step by step:

Step 1:Take the number 99 and divide by 20. We get 4 (write it in the quotient). Multiply 4 × 20 = 80 (write it below the dividend). Subtract 99 - 80 = 19. The remainder 19 is carried to the next step.
Step 2:Take the number 199 and divide by 20. We get 9 (write it in the quotient). Multiply 9 × 20 = 180 (write it below the dividend). Subtract 199 - 180 = 19. The remainder 19 is carried to the next step.
Step 3:Take the number 198 and divide by 20. We get 9 (write it in the quotient). Multiply 9 × 20 = 180 (write it below the dividend). Subtract 198 - 180 = 18. The remainder 18 is carried to the next step.
Final Step:The remainder 18 is smaller than the divisor 20, so the division is complete. The final answer is 499 with remainder 18.

Division Steps

StepDividend PartQuotient DigitMultiplySubtractRemainder
19944 × 20 = 8099 - 80 = 1919
219999 × 20 = 180199 - 180 = 1919
319899 × 20 = 180198 - 180 = 1818

Final remainder: 18

Since 18 is less than 20, we cannot divide further. The final answer is 499 with remainder 18.

About Long Division

Long division is a method for dividing large numbers that breaks down the division process into smaller, manageable steps. It's taught in elementary school as a systematic way to perform division by hand.

The process involves:

  • Dividing the leftmost digits of the dividend by the divisor
  • Writing the quotient digit above the dividend
  • Multiplying the quotient digit by the divisor
  • Subtracting this product from the current dividend portion
  • Bringing down the next digit and repeating the process

This method ensures accuracy and helps students understand the relationship between multiplication and division.

See Also

About "Long Division Calculator" Calculator

Long division calculator with step-by-step explanation. Enter dividend (e.g. '29224' or '58.5') and divisor (e.g. '4' or '1.25') to get detailed solution with visualization.

"Long Division Calculator" Calculator

Dividend (number to be divided)

Divisor (number to divide by)

FAQ

How to divide 9998 by 20 using long division and find the remainder?

9998 ÷ 20 = 499 remainder 18

See Also