We're dividing 701981 by 90 
We want to figure out the number of times 701981 can be divided by 90.

On to step 1:
7 divided by 90 is 0 with a remainder of 7.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 7, we get 7.
Take the next digit (0) from the dividend and append it to 7, then repeat: 70 / 90

Going ahead to step 2:
The number 90 fits into 70 0 times, leaving a remainder of 70.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 70, we end up with 70.
Include the next digit (1) from the dividend after 70, then repeat: 701 / 90

Advancing to step 3:
The number 90 fits into 701 7 times, leaving a remainder of 71.
Use 7 as the next digit of our solution. 
Result so far: 7.0
Subtracting 630 from 701 leaves us with 71.
Take the next digit (9) from the dividend and append it to 71, then repeat: 719 / 90

Advancing to step 4:
719 divided by 90 is 7 with a remainder of 89.
Put 7 as the next digit of the answer. 
Result so far: 77.0
If we take 630 away from 719, we end up with 89.
Fetch the next digit (8) from the dividend, attach it to 89 and continue: 898 / 90

Moving on to step 5:
The number 90 fits into 898 9 times, leaving a remainder of 88.
The number 9 becomes the next digit in our result. 
Result so far: 779.0
Subtract 810 from 898 to get 88.
Append the next digit (1) from the dividend to 88 and continue with: 881 / 90

Let's proceed to step 6:
If we divide 881 by 90, we get 9 and a remainder of 71.
The next digit of our result is 9. 
Result so far: 7799.0
Subtract 810 from 881 to get 71.
Since there are no more digits in the dividend, we add a zero to the remainder making it 710, and continue the process.

Step 7:
90 goes into 710 7 times with a remainder of 80.
Write down 7 as next digit of the result. 
Result so far: 7799.7
Subtracting 630 from 710 leaves us 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.

Step 8:
When dividing 800 by 90, we get 8 with a remainder of 80.
The number 8 becomes the next digit in our result. 
Result so far: 7799.78
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.

Going ahead to step 9:
When dividing 800 by 90, we get 8 with a remainder of 80.
Write down 8 as next digit of the result. 
Result so far: 7799.788
If we subtract 720 from 800, 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.

Our division results in 7799.788 with a remaining 0.008.