Master Long Division with this Step-by-Step Guide for Solving 46/53 Division Problem

46/53

If you choose a girl, what is the probability she is right handed?

46/53 is a division problem. To solve it, you need to divide the numerator (which is 46) by the denominator (which is 53).

One approach to solving this division problem is long division. Here are the steps:

1. Write the divisor (53) outside the division bracket, and the dividend (46) inside the bracket. Make sure the dividend is directly over the divisor.

“`
53 ) 46
“`

2. Ask yourself how many times the divisor (53) goes into the first digit of the dividend (4). Since 53 is greater than 4, we need to look at the first two digits of the dividend (46).

3. Divide 53 into 46. You’ll find that it goes in 0 times since 53 is greater than 46. Write 0 above the first digit of the dividend.

“`
0
53 ) 46
0
“`

4. Bring down the next digit of the dividend (6) and place it next to the zero.

“`
0
53 ) 46
0
46
“`

5. Repeat step 2 with the new dividend (56). Ask yourself how many times the divisor (53) goes into 56. You’ll find that it goes in once, with a remainder of 3.

“`
0
53 ) 46
0
46
—
3
“`

6. Write the quotient (the number of times the divisor goes into the dividend) above the remainder.

“`
0
53 ) 46
0
46
—
3
Quotient: 0r1
“`

7. Bring down the next digit of the dividend (the digit 0, since there are no more digits) and place it next to the remainder.

“`
0
53 ) 46
0
46
—
3
0
“`

8. Repeat step 2 with the new dividend (30). Ask yourself how many times the divisor (53) goes into 30. You’ll find that it goes in 0 times.

“`
0
53 ) 46
0
46
—
3
0
—
30
“`

9. Write another 0 above the digit in the quotient that you wrote in step 6.

“`
0
53 ) 46
0
46
—
3
0
—
30
Quotient: 0r10
“`

10. Bring down the next digit of the dividend (the digit 0, since we’ve reached the end) and place it next to the remainder.

“`
0
53 ) 46
0
46
—
3
0
—
30
0
“`

11. Repeat step 2 with the new dividend (the number 300). Ask yourself how many times the divisor (53) goes into 300. You’ll find that it goes in 5 times, with a remainder of 25.

“`
0
53 ) 46
0
46
—
3
0
—
30
0
—
25
Quotient: 0r905
“`

12. We now have a remainder of 25 and there are no more digits to bring down. Therefore, we have found our final quotient. The answer to 46/53, when expressed as a decimal, is approximately 0.8679245.

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