Step-by-Step Long Division: How to Calculate 46 Divided by 53

46/53

To calculate the value of 46 divided by 53, we can use long division

To calculate the value of 46 divided by 53, we can use long division. Here is the step-by-step solution:

1. Set up the long division problem by writing the divisor (53) on the outside and the dividend (46) on the inside:
“`
_____
53 | 46
“`

2. Begin with the first digit of the dividend (4) and divide it by the divisor (53). Since 4 is smaller than 53, we will bring down the next digit (6) to form the partial dividend:
“`
_____
53 | 46
–
“`
The result is 0, so we write 0 above the line.

3. Now, consider the next two digits of the partial dividend (46). We divide 46 by 53 and determine how many times 53 fits into 46. Since 46 is smaller than 53, we cannot divide them evenly. Hence, we need to add a decimal point and a zero after the 46 to continue the division:
“`
_____
53 | 46.00
–
“`
The result is still 0, so we write another 0 above the line.

4. Now, we bring down the next digit from the dividend (0) and add it to the partial dividend (46.00):
“`
_____
53 | 46.00
–
0
“`

5. Now, we divide 53 into 460. The result is approximate and will contain decimal places. We find that 53 fits 8 times into 460 (53 * 8 = 424). We subtract this value from 460 to get the remainder:
“`
_____
53 | 46.00
– 42
40
“`
The result of the division is 0.8 because 53 can fit approximately 8 times into 46.0.

Therefore, the value of 46 divided by 53 is approximately 0.8.

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