Long Division: 589.72 ÷ 16

"Long Division Calculator" Calculator

Dividend (number to be divided)

Divisor (number to divide by)

How to divide 589.72 by 16 using long division and find the remainder?

Answer: 589.72 ÷ 16 = 36 remainder 1372
589.72 ÷ 16 = 36 remainder 1372

Converting Decimals to Integers

First, we convert the numbers to integers by multiplying both dividend and divisor by 100:

589.72 × 100 = 58972(dividend)
16 × 100 = 1600(divisor)

Now we can perform long division with these whole numbers:

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 589.72 ÷ 16 using long division method step by step:

Step 1:Take the number 5897 and divide by 1600. We get 3 (write it in the quotient). Multiply 3 × 1600 = 4800 (write it below the dividend). Subtract 5897 - 4800 = 1097. The remainder 1097 is carried to the next step.
Step 2:Take the number 10972 and divide by 1600. We get 6 (write it in the quotient). Multiply 6 × 1600 = 9600 (write it below the dividend). Subtract 10972 - 9600 = 1372. The remainder 1372 is carried to the next step.
Final Step:The remainder 1372 is smaller than the divisor 1600, so the division is complete. The final answer is 36 with remainder 1372.

Division Steps

StepDividend PartQuotient DigitMultiplySubtractRemainder
1589733 × 1600 = 48005897 - 4800 = 10971097
21097266 × 1600 = 960010972 - 9600 = 13721372

Final remainder: 1372

Since 1372 is less than 1600, we cannot divide further. The final answer is 36 with remainder 1372.

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 589.72 by 16 using long division and find the remainder?

589.72 ÷ 16 = 36 remainder 1372

See Also