53 divided by 3
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17.6666667
To find the quotient of 53 divided by 3, you can use either long division or perform the division mentally. Let me explain both methods.
Method 1: Long Division
Step 1: Write down the dividend (53) and divisor (3) in the division expression: 53 ÷ 3.
Step 2: Begin the division process by dividing the leftmost digit of the dividend by the divisor. In this case, divide 5 by 3.
- The result is 1, and the remainder is 2. Write the quotient (1) above the division line, and the remainder (2) next to the dividend.
Step 3: Bring down the next digit of the dividend (3), next to the remainder (2), to form a new dividend (23).
Step 4: Repeat step 2, dividing the new dividend (23) by the divisor (3).
- The result is 7, and there is no remainder. Write the quotient (7) above the division line.
Step 5: Since there are no more digits in the dividend, and no remainder left, the division is complete.
- The final result is 17, which means 53 ÷ 3 = 17.
Method 2: Mental Division
Step 1: Divide the first digit or digits of the dividend by the divisor mentally.
- In this case, 53 ÷ 3 can be approximated by dividing 50 by 3. The result is approximately 16.7 (rounded down to 16).
Step 2: Multiply the quotient obtained in step 1 by the divisor (3) to check if it is close to the dividend (53).
- 16 × 3 = 48, which is close to 53.
Step 3: Adjust the initial quotient (16) by one if the product obtained in step 2 is less than the dividend (53), or leave it if the product is greater.
- In this case, since 48 is less than 53, we increase the quotient by one, resulting in 17.
- Therefore, 53 ÷ 3 is approximately 17.
Both methods yield the same result: 53 ÷ 3 = 17.