How to Divide 46 by 109 using the Long Division Method – Step by Step Guide with Example

46/109

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

To divide 46 by 109, we can use long division method which involves the following steps:

Step 1: Write the dividend (46) inside the long division bracket and the divisor (109) outside the bracket as shown below:

“`
___
109| 46
“`

Step 2. Since 109 is larger than 46, we cannot obtain a quotient that is greater than 1. So we write 0 as the quotient above the dividend and place a decimal point above it.

“`
0.
___
109| 46
“`

Step 3: Bring down the next digit (0) from the dividend and add it to the remainder.

“`
0.
___
109| 46
0
“`

Step 4: Divide the new dividend (which is 4) by the divisor (109). The result is 0 with a remainder of 4. Write the 0 as the next digit of the quotient and bring down the next digit (6) from the dividend.

“`
0.0
___
109| 46
0
—
4

“`

Step 5: Append a zero to the remainder (4) and divide it by the divisor (109). The result is 0 with a remainder of 40. Write the 0 as the next digit of the quotient and bring down the next digit (9) from the dividend.

“`
0.0
___
109| 46
0
—
4 0
“`

Step 6: Append a zero to the remainder (40) and divide it by the divisor (109). The result is 0 with a remainder of 40. Write the 0 as the next digit of the quotient.

“`
0.0
___
109| 46
0
—
4 0
0
“`

Step 7: Since the remainder is 40, we can continue dividing until we obtain the desired level of precision or until the remainder becomes zero. Alternatively, we can express the result as a mixed number or decimal:

– As a mixed number: 46/109 = 0 46/109
– As a decimal number: 46/109 ≈ 0.422018348624(Calculated to 12 decimal places)

So 46 divided by 109 is approximately 0.422.

More Answers: