Long Division: 99999 ÷ 700

"Long Division Calculator" Calculator

Dividend (number to be divided)

Divisor (number to divide by)

How to divide 99999 by 700 using long division and find the remainder?

Answer: 99999 ÷ 700 = 142 remainder 599
99999 ÷ 700 = 142 remainder 599

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 99999 ÷ 700 using long division method step by step:

Step 1:Take the number 999 and divide by 700. We get 1 (write it in the quotient). Multiply 1 × 700 = 700 (write it below the dividend). Subtract 999 - 700 = 299. The remainder 299 is carried to the next step.
Step 2:Take the number 2999 and divide by 700. We get 4 (write it in the quotient). Multiply 4 × 700 = 2800 (write it below the dividend). Subtract 2999 - 2800 = 199. The remainder 199 is carried to the next step.
Step 3:Take the number 1999 and divide by 700. We get 2 (write it in the quotient). Multiply 2 × 700 = 1400 (write it below the dividend). Subtract 1999 - 1400 = 599. The remainder 599 is carried to the next step.
Final Step:The remainder 599 is smaller than the divisor 700, so the division is complete. The final answer is 142 with remainder 599.

Division Steps

StepDividend PartQuotient DigitMultiplySubtractRemainder
199911 × 700 = 700999 - 700 = 299299
2299944 × 700 = 28002999 - 2800 = 199199
3199922 × 700 = 14001999 - 1400 = 599599

Final remainder: 599

Since 599 is less than 700, we cannot divide further. The final answer is 142 with remainder 599.

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 99999 by 700 using long division and find the remainder?

99999 ÷ 700 = 142 remainder 599

See Also