How to Divide 46 by 109: Step-by-Step Guide with Examples

46/109

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To solve 46/109, we need to perform division as follows:

1) Set up the division problem with the dividend (46) inside the division bracket and the divisor (109) outside the division bracket.

0.42
109|46.00
43
—
30
27
—
3

2) Determine how many times the divisor (109) can fit into the first digit of the dividend (4): it cannot fit, so we bring down the next digit from the dividend (6) to the right of the remainder (0).

3) Divide the result so far (43) by the divisor (109) to obtain a quotient of 0.42, which we place above the dividend.

4) Multiply the quotient (0.42) by the divisor (109) to obtain the product of 46.78. We subtract this amount from the dividend (46) to give a remainder of 30.

5) Bring down the next digit (0) from the dividend to the right of the remainder (30), and repeat the process by dividing the result (300) by the divisor (109) to obtain a quotient of 2.75, which we place to the right of 0.42.

6) Multiply the quotient (2.75) by the divisor (109) to obtain the product of 299.75. We subtract this amount from the result of the previous subtraction (300-299.75) to give a remainder of 0.25.

7) Bring down the next digit (0) from the dividend to the right of the remainder (0.25), and repeat the process by dividing the result (25) by the divisor (109) to obtain a quotient of 0.23, which we place to the right of 2.75.

8) Since there are no more digits to bring down, we have obtained our final result of 0.4220183 (rounded to seven decimal places.)

Therefore, 46/109 = 0.4220183 (rounded to seven decimal places).

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