Let's divide 761638 by 45
Our goal is to divide 761638 by 45.

On to step 1:
When dividing 7 by 45, we get 0 with a remainder of 7.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 7 to get 7.
Fetch the next digit (6) from the dividend, attach it to 7 and continue: 76 / 45

Moving on to step 2:
76 divided by 45 is 1 with a remainder of 31.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Subtracting 45 from 76 leaves us with 31.
Append the next digit (1) from the dividend to 31 and continue with: 311 / 45

Let's proceed to step 3:
311 divided by 45 is 6 with a remainder of 41.
Write down 6 as next digit of the result. 
Result so far: 16.0
The remainder is 41 after subtracting 270 from 311.
Fetch the next digit (6) from the dividend, attach it to 41 and continue: 416 / 45

Moving on to step 4:
When dividing 416 by 45, we get 9 with a remainder of 11.
The number 9 becomes the next digit in our result. 
Result so far: 169.0
Subtracting 405 from 416 leaves us with 11.
Grab the next digit (3) from the dividend, add it to 11, then carry on: 113 / 45

Going ahead to step 5:
45 can be fit into 113 2 times, resulting in a remainder of 23.
Put 2 as the next digit of the answer. 
Result so far: 1692.0
The remainder is 23 after subtracting 90 from 113.
Grab the next digit (8) from the dividend, add it to 23, then carry on: 238 / 45

Going ahead to step 6:
The number 45 fits into 238 5 times, leaving a remainder of 13.
Write down 5 as next digit of the result. 
Result so far: 16925.0
The remainder is 13 after subtracting 225 from 238.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Step 7:
The number 45 fits into 130 2 times, leaving a remainder of 40.
The next digit of our result is 2. 
Result so far: 16925.2
Subtract 90 from 130 to get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

On to step 8:
The number 45 fits into 400 8 times, leaving a remainder of 40.
Use 8 as the next digit of our solution. 
Result so far: 16925.28
Subtract 360 from 400 to get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Moving on to step 9:
45 goes into 400 8 times with a remainder of 40.
Record the quotient 8 as the next digit in the result. 
Result so far: 16925.288
If we subtract 360 from 400, we get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Our division results in 16925.288 with a remaining 0.004.