Long Division: 348 ÷ 17

Long Division Calculator
Dividend (number to be divided)
Divisor (number to divide by)

How to divide 348 by 17 using long division and find the remainder?

Answer

348 ÷ 17 = 20 remainder 8
348 ÷ 17 = 20 remainder 8

Visual Long Division

 
 
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7
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8
 
 
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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 348 ÷ 17 using long division method step by step:

Step 1:Take the number 34 and divide by 17. We get 2 (write it in the quotient). Multiply 2 × 17 = 34 (write it below the dividend). Subtract 34 - 34 = 0.
Step 2:Number 8 is less than divisor 17, so we write 0 in the quotient and move to the next digit.
Final Step:The remainder 8 is smaller than the divisor 17, so the division is complete. The final answer is 20 with remainder 8.

Division Steps

StepDividend PartQuotient DigitMultiplySubtractRemainder
13422 × 17 = 3434 - 34 = 00
2800 × 17 = 08 - 0 = 88

Final remainder: 8

Since 8 is less than 17, we cannot divide further. The final answer is 20 with remainder 8.

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.

Related Calculations

See Also

Long Division 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 348 by 17 using long division and find the remainder? (The answer is: When dividing 348 by 17, we get quotient 20 and remainder 8. Result: 348 ÷ 17 = 20 remainder 8.). Enter dividend (e.g. '29224') and divisor (e.g. '4') and hit the 'Calculate' button.
Recalculate with different values ↑

Long Division Table

DivisionQuotientRemainder
153 ÷ 1790
170 ÷ 17100
187 ÷ 17110
204 ÷ 17120
221 ÷ 17130
238 ÷ 17140
255 ÷ 17150
348 ÷ 17208
987 ÷ 17581
1,000 ÷ 175814
1,700 ÷ 171000
10,000 ÷ 175884
99,999 ÷ 175,8825
100,000 ÷ 175,8826
549,999 ÷ 1732,35215

FAQ

How to divide 348 by 17 using long division and find the remainder?

348 ÷ 17 = 20 remainder 8

Is 348 divisible by 17?

No, 348 is not divisible by 17. The remainder is 8.

How to check the result of 348 ÷ 17?

Multiply the quotient 20 by the divisor 17 and add the remainder 8. The result should equal 348.

See Also