Long Division: 9998 ÷ 125

"Long Division Calculator" Calculator

Dividend (number to be divided)

Divisor (number to divide by)

How to divide 9998 by 125 using long division and find the remainder?

Answer: 9998 ÷ 125 = 79 remainder 123
9998 ÷ 125 = 79 remainder 123

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 ÷ 125 using long division method step by step:

Step 1:Take the number 999 and divide by 125. We get 7 (write it in the quotient). Multiply 7 × 125 = 875 (write it below the dividend). Subtract 999 - 875 = 124. The remainder 124 is carried to the next step.
Step 2:Take the number 1248 and divide by 125. We get 9 (write it in the quotient). Multiply 9 × 125 = 1125 (write it below the dividend). Subtract 1248 - 1125 = 123. The remainder 123 is carried to the next step.
Final Step:The remainder 123 is smaller than the divisor 125, so the division is complete. The final answer is 79 with remainder 123.

Division Steps

StepDividend PartQuotient DigitMultiplySubtractRemainder
199977 × 125 = 875999 - 875 = 124124
2124899 × 125 = 11251248 - 1125 = 123123

Final remainder: 123

Since 123 is less than 125, we cannot divide further. The final answer is 79 with remainder 123.

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 125 using long division and find the remainder?

9998 ÷ 125 = 79 remainder 123

See Also