We look at the division of 376997 by 90 
Let's see how many times 90 fits into 376997.

Moving on to step 1:
If we divide 3 by 90, we get 0 and a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 3 and we're left with 3.
Append the next digit (7) from the dividend to 3 and continue with: 37 / 90

Moving on to step 2:
If we divide 37 by 90, we get 0 and 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.
Bring next digit (6) of the dividend behind the 37 and repeat the process: 376 / 90

On to step 3:
90 goes into 376 4 times with a remainder of 16.
Record the quotient 4 as the next digit in the result. 
Result so far: 4.0
If we subtract 360 from 376, we get 16.
Grab the next digit (9) from the dividend, add it to 16, then carry on: 169 / 90

Let's proceed to step 4:
169 divided by 90 is 1 with a remainder of 79.
The number 1 becomes the next digit in our result. 
Result so far: 41.0
Subtracting 90 from 169 leaves us with 79.
Take the next digit (9) from the dividend and append it to 79, then repeat: 799 / 90

Let's proceed to step 5:
799 divided by 90 is 8 with a remainder of 79.
Put 8 as the next digit of the answer. 
Result so far: 418.0
If we take 720 away from 799, we end up with 79.
Take the next digit (7) from the dividend and append it to 79, then repeat: 797 / 90

On to step 6:
When dividing 797 by 90, we get 8 with a remainder of 77.
Record the quotient 8 as the next digit in the result. 
Result so far: 4188.0
Deduct 720 from 797 and we're left with 77.
Since there are no more digits in the dividend, we add a zero to the remainder making it 770, and continue the process.

On to step 7:
The number 90 fits into 770 8 times, leaving a remainder of 50.
The number 8 becomes the next digit in our result. 
Result so far: 4188.8
If we subtract 720 from 770, we get 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Let's proceed to step 8:
When dividing 500 by 90, we get 5 with a remainder of 50.
Put 5 as the next digit of the answer. 
Result so far: 4188.85
If we take 450 away from 500, we end up with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Advancing to step 9:
90 goes into 500 5 times with a remainder of 50.
Record the quotient 5 as the next digit in the result. 
Result so far: 4188.855
If we subtract 450 from 500, we get 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

The final outcome is 4188.855, with a leftover of 0.005.