We're dividing 525698 by 90 
Let's see how many times 90 fits into 525698.

Going ahead to step 1:
When dividing 5 by 90, we get 0 with a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Take the next digit (2) from the dividend and append it to 5, then repeat: 52 / 90

Advancing to step 2:
90 can be fit into 52 0 times, resulting in a remainder of 52.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 52 and we're left with 52.
Grab the next digit (5) from the dividend, add it to 52, then carry on: 525 / 90

Step 3:
The number 90 fits into 525 5 times, leaving a remainder of 75.
Record the quotient 5 as the next digit in the result. 
Result so far: 5.0
If we subtract 450 from 525, we get 75.
Include the next digit (6) from the dividend after 75, then repeat: 756 / 90

Going ahead to step 4:
If we divide 756 by 90, we get 8 and a remainder of 36.
The next digit of our result is 8. 
Result so far: 58.0
Subtracting 720 from 756 leaves us with 36.
Take the next digit (9) from the dividend and append it to 36, then repeat: 369 / 90

Let's proceed to step 5:
When dividing 369 by 90, we get 4 with a remainder of 9.
Write down 4 as next digit of the result. 
Result so far: 584.0
Subtract 360 from 369 to get 9.
Grab the next digit (8) from the dividend, add it to 9, then carry on: 98 / 90

Going ahead to step 6:
When dividing 98 by 90, we get 1 with a remainder of 8.
The number 1 becomes the next digit in our result. 
Result so far: 5841.0
Subtract 90 from 98 to get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Moving on to step 7:
If we divide 80 by 90, we get 0 and a remainder of 80.
Record the quotient 0 as the next digit in the result. 
Result so far: 5841.0
If we subtract 0 from 80, we get 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 800, and continue the process.

Moving on to step 8:
If we divide 800 by 90, we get 8 and a remainder of 80.
Write down 8 as next digit of the result. 
Result so far: 5841.08
Deduct 720 from 800 and we're left with 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 800, and continue the process.

On to step 9:
800 divided by 90 is 8 with a remainder of 80.
The number 8 becomes the next digit in our result. 
Result so far: 5841.088
The remainder is 80 after subtracting 720 from 800.
Since there are no more digits in the dividend, we add a zero to the remainder making it 800, and continue the process.

After the division, we end up with 5841.088 and a remainder of 0.008.