We look at the division of 90906579 by 825 
Our goal is to divide 90906579 by 825.

Advancing to step 1:
825 goes into 9 0 times with a remainder of 9.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 9 to get 9.
Include the next digit (0) from the dividend after 9, then repeat: 90 / 825

Going ahead to step 2:
825 goes into 90 0 times with a remainder of 90.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 90, we get 90.
Fetch the next digit (9) from the dividend, attach it to 90 and continue: 909 / 825

Step 3:
When dividing 909 by 825, we get 1 with a remainder of 84.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Subtracting 825 from 909 leaves us with 84.
Take the next digit (0) from the dividend and append it to 84, then repeat: 840 / 825

Advancing to step 4:
825 goes into 840 1 times with a remainder of 15.
Use 1 as the next digit of our solution. 
Result so far: 11.0
Deduct 825 from 840 and we're left with 15.
Append the next digit (6) from the dividend to 15 and continue with: 156 / 825

Advancing to step 5:
825 can be fit into 156 0 times, resulting in a remainder of 156.
The next digit of our result is 0. 
Result so far: 110.0
If we subtract 0 from 156, we get 156.
Grab the next digit (5) from the dividend, add it to 156, then carry on: 1565 / 825

Moving on to step 6:
If we divide 1565 by 825, we get 1 and a remainder of 740.
Use 1 as the next digit of our solution. 
Result so far: 1101.0
Subtract 825 from 1565 to get 740.
Take the next digit (7) from the dividend and append it to 740, then repeat: 7407 / 825

Advancing to step 7:
825 goes into 7407 8 times with a remainder of 807.
The next digit of our result is 8. 
Result so far: 11018.0
Subtracting 6600 from 7407 leaves us with 807.
Append the next digit (9) from the dividend to 807 and continue with: 8079 / 825

Advancing to step 8:
825 goes into 8079 9 times with a remainder of 654.
Write down 9 as next digit of the result. 
Result so far: 110189.0
Subtracting 7425 from 8079 leaves us with 654.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6540, and continue the process.

Going ahead to step 9:
825 goes into 6540 7 times with a remainder of 765.
Write down 7 as next digit of the result. 
Result so far: 110189.7
If we subtract 5775 from 6540, we get 765.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7650, and continue the process.

Let's proceed to step 10:
If we divide 7650 by 825, we get 9 and a remainder of 225.
The next digit of our result is 9. 
Result so far: 110189.79
If we take 7425 away from 7650, we end up with 225.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2250, and continue the process.

Advancing to step 11:
825 goes into 2250 2 times with a remainder of 600.
Record the quotient 2 as the next digit in the result. 
Result so far: 110189.792
Subtract 1650 from 2250 to get 600.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6000, and continue the process.

Step 12:
The number 825 fits into 6000 7 times, leaving a remainder of 225.
Write down 7 as next digit of the result. 
Result so far: 110189.7927
Deduct 5775 from 6000 and we're left with 225.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2250, and continue the process.

Moving on to step 13:
The number 825 fits into 2250 2 times, leaving a remainder of 600.
Record the quotient 2 as the next digit in the result. 
Result so far: 110189.79272
If we subtract 1650 from 2250, we get 600.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6000, and continue the process.

Let's proceed to step 14:
825 can be fit into 6000 7 times, resulting in a remainder of 225.
The number 7 becomes the next digit in our result. 
Result so far: 110189.792727
Subtracting 5775 from 6000 leaves us with 225.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2250, and continue the process.

On to step 15:
2250 divided by 825 is 2 with a remainder of 600.
Use 2 as the next digit of our solution. 
Result so far: 110189.7927272
Deduct 1650 from 2250 and we're left with 600.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6000, and continue the process.

On to step 16:
825 goes into 6000 7 times with a remainder of 225.
Put 7 as the next digit of the answer. 
Result so far: 110189.79272727
Subtracting 5775 from 6000 leaves us with 225.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2250, and continue the process.

Our division results in 110189.79272727 with a remaining 2.25e-07.