Long Division: 998999 ÷ 1000

"Long Division Calculator" Calculator

Dividend (number to be divided)

Divisor (number to divide by)

How to divide 998999 by 1000 using long division and find the remainder?

Answer: 998999 ÷ 1000 = 998 remainder 999
998999 ÷ 1000 = 998 remainder 999

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 998999 ÷ 1000 using long division method step by step:

Step 1:Take the number 9989 and divide by 1000. We get 9 (write it in the quotient). Multiply 9 × 1000 = 9000 (write it below the dividend). Subtract 9989 - 9000 = 989. The remainder 989 is carried to the next step.
Step 2:Take the number 9899 and divide by 1000. We get 9 (write it in the quotient). Multiply 9 × 1000 = 9000 (write it below the dividend). Subtract 9899 - 9000 = 899. The remainder 899 is carried to the next step.
Step 3:Take the number 8999 and divide by 1000. We get 8 (write it in the quotient). Multiply 8 × 1000 = 8000 (write it below the dividend). Subtract 8999 - 8000 = 999. The remainder 999 is carried to the next step.
Final Step:The remainder 999 is smaller than the divisor 1000, so the division is complete. The final answer is 998 with remainder 999.

Division Steps

StepDividend PartQuotient DigitMultiplySubtractRemainder
1998999 × 1000 = 90009989 - 9000 = 989989
2989999 × 1000 = 90009899 - 9000 = 899899
3899988 × 1000 = 80008999 - 8000 = 999999

Final remainder: 999

Since 999 is less than 1000, we cannot divide further. The final answer is 998 with remainder 999.

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 998999 by 1000 using long division and find the remainder?

998999 ÷ 1000 = 998 remainder 999

See Also