We look at the division of 372277 by 89 
Our goal is to divide 372277 by 89.

Step 1:
If we divide 3 by 89, we get 0 and 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.
Include the next digit (7) from the dividend after 3, then repeat: 37 / 89

Advancing to step 2:
89 can be fit into 37 0 times, resulting in 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.
Include the next digit (2) from the dividend after 37, then repeat: 372 / 89

On to step 3:
If we divide 372 by 89, we get 4 and a remainder of 16.
The next digit of our result is 4. 
Result so far: 4.0
The remainder is 16 after subtracting 356 from 372.
Grab the next digit (2) from the dividend, add it to 16, then carry on: 162 / 89

Moving on to step 4:
When dividing 162 by 89, we get 1 with a remainder of 73.
The number 1 becomes the next digit in our result. 
Result so far: 41.0
The remainder is 73 after subtracting 89 from 162.
Include the next digit (7) from the dividend after 73, then repeat: 737 / 89

On to step 5:
737 divided by 89 is 8 with a remainder of 25.
Put 8 as the next digit of the answer. 
Result so far: 418.0
If we take 712 away from 737, we end up with 25.
Bring next digit (7) of the dividend behind the 25 and repeat the process: 257 / 89

Moving on to step 6:
89 goes into 257 2 times with a remainder of 79.
Write down 2 as next digit of the result. 
Result so far: 4182.0
Subtract 178 from 257 to get 79.
Since there are no more digits in the dividend, we add a zero to the remainder making it 790, and continue the process.

On to step 7:
89 can be fit into 790 8 times, resulting in a remainder of 78.
Record the quotient 8 as the next digit in the result. 
Result so far: 4182.8
Subtract 712 from 790 to get 78.
Since there are no more digits in the dividend, we add a zero to the remainder making it 780, and continue the process.

On to step 8:
780 divided by 89 is 8 with a remainder of 68.
The number 8 becomes the next digit in our result. 
Result so far: 4182.88
If we subtract 712 from 780, we get 68.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

The final result is 4182.88 with a remainder of 0.068.