Long Division: 998 ÷ 17

"Long Division Calculator" Calculator

Dividend (number to be divided)

Divisor (number to divide by)

How to divide 998 by 17 using long division and find the remainder?

Answer

998 ÷ 17 = 58 remainder 12
998 ÷ 17 = 58 remainder 12

Visual Long Division

 
 
0
5
8
1
7
9
9
8
 
 
−
8
5
 
 
 
1
4
8
 
 
−
1
3
6
 
 
 
1
2

This shows the traditional long division layout used in schools, with each step clearly marked.

Step-by-Step Explanation

Here's how to solve 998 ÷ 17 using long division method step by step:

Step 1:Take the number 99 and divide by 17. We get 5 (write it in the quotient). Multiply 5 × 17 = 85 (write it below the dividend). Subtract 99 - 85 = 14. The remainder 14 is carried to the next step.
Step 2:Take the number 148 and divide by 17. We get 8 (write it in the quotient). Multiply 8 × 17 = 136 (write it below the dividend). Subtract 148 - 136 = 12. The remainder 12 is carried to the next step.
Final Step:The remainder 12 is smaller than the divisor 17, so the division is complete. The final answer is 58 with remainder 12.

Division Steps

StepDividend PartQuotient DigitMultiplySubtractRemainder
19955 × 17 = 8599 - 85 = 1414
214888 × 17 = 136148 - 136 = 1212

Final remainder: 12

Since 12 is less than 17, we cannot divide further. The final answer is 58 with remainder 12.

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.

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About "Long Division Calculator" Calculator

Long division calculator with step-by-step explanation. Enter dividend and divisor to get a detailed solution with visualization. For example, it can help you find out how to divide 998 by 17 using long division and find the remainder? (The answer is: When dividing 998 by 17, we get quotient 58 and remainder 12. Result: 998 ÷ 17 = 58 remainder 12.). Enter dividend (e.g. '29224') and divisor (e.g. '4') and hit the 'Calculate' button.

"Long Division Calculator" Calculator

Dividend (number to be divided)

Divisor (number to divide by)

Long Division Table

DivisionQuotientRemainder
991 ÷ 17585
992 ÷ 17586
993 ÷ 17587
994 ÷ 17588
995 ÷ 17589
996 ÷ 175810
997 ÷ 175811
998 ÷ 175812
999 ÷ 175813
1000 ÷ 175814
1001 ÷ 175815
1002 ÷ 175816
1003 ÷ 17590
1004 ÷ 17591
1005 ÷ 17592

FAQ

How to divide 998 by 17 using long division and find the remainder?

998 ÷ 17 = 58 remainder 12

Is 998 divisible by 17?

No, 998 is not divisible by 17. The remainder is 12.

How to check the result of 998 ÷ 17?

Multiply the quotient 58 by the divisor 17 and add the remainder 12. The result should equal 998.

See Also