How to Divide Numbers: Long Division Method and Calculator Use for 46/53

46/53

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To solve 46/53, we can use long division or a calculator.

Long division method:

1. Write 46 as the dividend and 53 as the divisor.

2. Divide the first digit of the dividend (4) by the divisor (5), which gives 0 as the result. Write 0 above the 6 in the dividend.

3. Multiply the divisor (53) by the quotient (0), which gives 0 as the product. Write this under the 46 in the dividend.

4. Subtract the product (0) from the first two digits of the dividend (46) to get a remainder of 46.

5. Bring down the next digit of the dividend (the 6) to the remainder to get 466.

6. Repeat steps 2-4 with the new dividend (466). Divide 46 by 53, which gives 0 as the quotient. Write 0 above the 6 in the dividend. Multiply 53 by 0 to get 0 as the product. Subtract 0 from 46 to get a remainder of 46.

7. Bring down the next digit of the dividend (the 6) to the remainder to get 466 again.

8. Repeat steps 2-4 with the new dividend (466). Divide 46 by 53, which gives 0 as the quotient. Write 0 above the 6 in the dividend. Multiply 53 by 0 to get 0 as the product. Subtract 0 from 46 to get a remainder of 46.

We can see that we will keep getting a remainder of 46 no matter how many times we repeat the process. Therefore, the decimal representation of 46/53 is a non-repeating decimal with a remainder of 46:

46/53 = 0.8679245… (to many decimal places)

Alternatively, using a calculator, we can simply divide 46 by 53 to get the decimal representation:

46/53 = 0.86792452830189 (to many decimal places)

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