Long Division: How to Divide 46 by 109 Step-by-Step

46/109

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To divide 46 by 109, we need to perform the following steps:

1. Set up the long division problem, with 46 as the dividend and 109 as the divisor:

___
109| 46

2. Determine how many times the divisor (109) goes into the first digit of the dividend (4). Since 109 is greater than 4, we consider the first two digits of the dividend (46) together:

__0
109|46
0

So, 109 goes into 46 zero times, and we write a 0 in the quotient above the 4.

3. Bring down the next digit of the dividend (6) to the right of the 0:

__0.
109|46
0

6

4. Determine how many times the divisor (109) goes into the first two digits of the new dividend (60). We perform the division:

___0.
109|46
0
—
60
54
—
6

So, 109 goes into 60 zero times, and we write a 0 in the quotient above the 6.

5. Bring down the next digit of the dividend (0) to the right of the 6:

__0.0
109|46
0
—
60
54
—
6
0

6. Determine how many times the divisor (109) goes into the first two digits of the new dividend (60). We perform the division:

___0.0
109|46
0
—
60
54
—
6
0
0

So, 109 goes into 60 zero times, and we write a 0 in the quotient above the 0.

7. Bring down the next digit of the dividend (0) to the right of the 0:

__0.00
109|46
0
—
60
54
—
6
0
0
0

8. Determine how many times the divisor (109) goes into the first two digits of the new dividend (0). Since the dividend is now less than the divisor, we cannot perform any more divisions.

9. Write the final quotient and remainder. The quotient is the number we wrote above the long division bar (0.421100). The remainder is the number on the last line of the division process (0). Therefore:

46 / 109 = 0.421100 (rounded to six decimal places)

And we can check our answer by multiplying 0.421100 by 109 and seeing if we get 46:

0.421100 X 109 = 45.9999 (rounded to six decimal places)

Since 45.9999 is approximately equal to 46, we can say that our answer is correct.

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