Long Division: 9998 ÷ 70

"Long Division Calculator" Calculator

Dividend (number to be divided)

Divisor (number to divide by)

How to divide 9998 by 70 using long division and find the remainder?

Answer: 9998 ÷ 70 = 142 remainder 58
9998 ÷ 70 = 142 remainder 58

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 ÷ 70 using long division method step by step:

Step 1:Take the number 99 and divide by 70. We get 1 (write it in the quotient). Multiply 1 × 70 = 70 (write it below the dividend). Subtract 99 - 70 = 29. The remainder 29 is carried to the next step.
Step 2:Take the number 299 and divide by 70. We get 4 (write it in the quotient). Multiply 4 × 70 = 280 (write it below the dividend). Subtract 299 - 280 = 19. The remainder 19 is carried to the next step.
Step 3:Take the number 198 and divide by 70. We get 2 (write it in the quotient). Multiply 2 × 70 = 140 (write it below the dividend). Subtract 198 - 140 = 58. The remainder 58 is carried to the next step.
Final Step:The remainder 58 is smaller than the divisor 70, so the division is complete. The final answer is 142 with remainder 58.

Division Steps

StepDividend PartQuotient DigitMultiplySubtractRemainder
19911 × 70 = 7099 - 70 = 2929
229944 × 70 = 280299 - 280 = 1919
319822 × 70 = 140198 - 140 = 5858

Final remainder: 58

Since 58 is less than 70, we cannot divide further. The final answer is 142 with remainder 58.

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 70 using long division and find the remainder?

9998 ÷ 70 = 142 remainder 58

See Also