We look at the division of 37163 by 45 
Our goal is to divide 37163 by 45.

On to step 1:
3 divided by 45 is 0 with a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 3 to get 3.
Fetch the next digit (7) from the dividend, attach it to 3 and continue: 37 / 45

Going ahead to step 2:
When dividing 37 by 45, we get 0 with a remainder of 37.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 37, we get 37.
Grab the next digit (1) from the dividend, add it to 37, then carry on: 371 / 45

On to step 3:
45 can be fit into 371 8 times, resulting in a remainder of 11.
Record the quotient 8 as the next digit in the result. 
Result so far: 8.0
If we take 360 away from 371, we end up with 11.
Include the next digit (6) from the dividend after 11, then repeat: 116 / 45

Step 4:
45 can be fit into 116 2 times, resulting in a remainder of 26.
Record the quotient 2 as the next digit in the result. 
Result so far: 82.0
Subtracting 90 from 116 leaves us with 26.
Take the next digit (3) from the dividend and append it to 26, then repeat: 263 / 45

Step 5:
The number 45 fits into 263 5 times, leaving a remainder of 38.
Put 5 as the next digit of the answer. 
Result so far: 825.0
Subtract 225 from 263 to get 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Going ahead to step 6:
380 divided by 45 is 8 with a remainder of 20.
Use 8 as the next digit of our solution. 
Result so far: 825.8
The remainder is 20 after subtracting 360 from 380.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Going ahead to step 7:
If we divide 200 by 45, we get 4 and a remainder of 20.
Put 4 as the next digit of the answer. 
Result so far: 825.84
Subtract 180 from 200 to get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

On to step 8:
200 divided by 45 is 4 with a remainder of 20.
Write down 4 as next digit of the result. 
Result so far: 825.844
Deduct 180 from 200 and we're left with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Our division results in 825.844 with a remaining 0.002.