Long Division: 9998 ÷ 400

"Long Division Calculator" Calculator

Dividend (number to be divided)

Divisor (number to divide by)

How to divide 9998 by 400 using long division and find the remainder?

Answer: 9998 ÷ 400 = 24 remainder 398
9998 ÷ 400 = 24 remainder 398

Visual Long Division

 
 
 
0
0
2
4
4
0
0
9
9
9
8
 
 
 
−
8
0
0
 
 
 
 
1
9
9
8
 
 
 
−
1
6
0
0
 
 
 
 
3
9
8

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 ÷ 400 using long division method step by step:

Step 1:Take the number 999 and divide by 400. We get 2 (write it in the quotient). Multiply 2 × 400 = 800 (write it below the dividend). Subtract 999 - 800 = 199. The remainder 199 is carried to the next step.
Step 2:Take the number 1998 and divide by 400. We get 4 (write it in the quotient). Multiply 4 × 400 = 1600 (write it below the dividend). Subtract 1998 - 1600 = 398. The remainder 398 is carried to the next step.
Final Step:The remainder 398 is smaller than the divisor 400, so the division is complete. The final answer is 24 with remainder 398.

Division Steps

StepDividend PartQuotient DigitMultiplySubtractRemainder
199922 × 400 = 800999 - 800 = 199199
2199844 × 400 = 16001998 - 1600 = 398398

Final remainder: 398

Since 398 is less than 400, we cannot divide further. The final answer is 24 with remainder 398.

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 400 using long division and find the remainder?

9998 ÷ 400 = 24 remainder 398

See Also