We're dividing 874693 by 90 
We want to figure out the number of times 874693 can be divided by 90.

Moving on to step 1:
When dividing 8 by 90, we get 0 with a remainder of 8.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 8 leaves us with 8.
Append the next digit (7) from the dividend to 8 and continue with: 87 / 90

Let's proceed to step 2:
The number 90 fits into 87 0 times, leaving a remainder of 87.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 87 to get 87.
Grab the next digit (4) from the dividend, add it to 87, then carry on: 874 / 90

Advancing to step 3:
If we divide 874 by 90, we get 9 and a remainder of 64.
Use 9 as the next digit of our solution. 
Result so far: 9.0
If we subtract 810 from 874, we get 64.
Take the next digit (6) from the dividend and append it to 64, then repeat: 646 / 90

On to step 4:
The number 90 fits into 646 7 times, leaving a remainder of 16.
Put 7 as the next digit of the answer. 
Result so far: 97.0
If we subtract 630 from 646, we get 16.
Append the next digit (9) from the dividend to 16 and continue with: 169 / 90

On to step 5:
90 can be fit into 169 1 times, resulting in a remainder of 79.
The number 1 becomes the next digit in our result. 
Result so far: 971.0
Deduct 90 from 169 and we're left with 79.
Fetch the next digit (3) from the dividend, attach it to 79 and continue: 793 / 90

Going ahead to step 6:
90 can be fit into 793 8 times, resulting in a remainder of 73.
The number 8 becomes the next digit in our result. 
Result so far: 9718.0
Deduct 720 from 793 and we're left with 73.
Since there are no more digits in the dividend, we add a zero to the remainder making it 730, and continue the process.

Moving on to step 7:
The number 90 fits into 730 8 times, leaving a remainder of 10.
Record the quotient 8 as the next digit in the result. 
Result so far: 9718.8
If we subtract 720 from 730, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Moving on to step 8:
The number 90 fits into 100 1 times, leaving a remainder of 10.
Use 1 as the next digit of our solution. 
Result so far: 9718.81
Deduct 90 from 100 and we're left with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Going ahead to step 9:
If we divide 100 by 90, we get 1 and a remainder of 10.
Put 1 as the next digit of the answer. 
Result so far: 9718.811
Subtracting 90 from 100 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

The quotient of the division is 9718.811, and the remainder is 0.001.