We look at the division of 37600 by 90 
We want to divide 37600 by 90.

Advancing to step 1:
The number 90 fits into 3 0 times, leaving a remainder of 3.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 3, we get 3.
Take the next digit (7) from the dividend and append it to 3, then repeat: 37 / 90

Advancing to step 2:
The number 90 fits into 37 0 times, leaving a remainder of 37.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 37, we end up with 37.
Include the next digit (6) from the dividend after 37, then repeat: 376 / 90

Moving on to step 3:
When dividing 376 by 90, we get 4 with a remainder of 16.
Put 4 as the next digit of the answer. 
Result so far: 4.0
If we subtract 360 from 376, we get 16.
Include the next digit (0) from the dividend after 16, then repeat: 160 / 90

On to step 4:
The number 90 fits into 160 1 times, leaving a remainder of 70.
Write down 1 as next digit of the result. 
Result so far: 41.0
Deduct 90 from 160 and we're left with 70.
Fetch the next digit (0) from the dividend, attach it to 70 and continue: 700 / 90

Let's proceed to step 5:
700 divided by 90 is 7 with a remainder of 70.
Write down 7 as next digit of the result. 
Result so far: 417.0
If we subtract 630 from 700, we get 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

Moving on to step 6:
90 can be fit into 700 7 times, resulting in a remainder of 70.
Use 7 as the next digit of our solution. 
Result so far: 417.7
Subtracting 630 from 700 leaves us with 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

Moving on to step 7:
90 goes into 700 7 times with a remainder of 70.
Write down 7 as next digit of the result. 
Result so far: 417.77
Subtracting 630 from 700 leaves us with 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

In conclusion, the division gives 417.77 with a balance of 0.07.