Long Division: 9998 ÷ 350

"Long Division Calculator" Calculator

Dividend (number to be divided)

Divisor (number to divide by)

How to divide 9998 by 350 using long division and find the remainder?

Answer: 9998 ÷ 350 = 28 remainder 198
9998 ÷ 350 = 28 remainder 198

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 ÷ 350 using long division method step by step:

Step 1:Take the number 999 and divide by 350. We get 2 (write it in the quotient). Multiply 2 × 350 = 700 (write it below the dividend). Subtract 999 - 700 = 299. The remainder 299 is carried to the next step.
Step 2:Take the number 2998 and divide by 350. We get 8 (write it in the quotient). Multiply 8 × 350 = 2800 (write it below the dividend). Subtract 2998 - 2800 = 198. The remainder 198 is carried to the next step.
Final Step:The remainder 198 is smaller than the divisor 350, so the division is complete. The final answer is 28 with remainder 198.

Division Steps

StepDividend PartQuotient DigitMultiplySubtractRemainder
199922 × 350 = 700999 - 700 = 299299
2299888 × 350 = 28002998 - 2800 = 198198

Final remainder: 198

Since 198 is less than 350, we cannot divide further. The final answer is 28 with remainder 198.

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 350 using long division and find the remainder?

9998 ÷ 350 = 28 remainder 198

See Also