We look at the division of 706781 by 90 
We're looking to find how many times 90 goes into 706781.

Advancing to step 1:
The number 90 fits into 7 0 times, leaving a remainder of 7.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 7 leaves us with 7.
Take the next digit (0) from the dividend and append it to 7, then repeat: 70 / 90

Step 2:
If we divide 70 by 90, we get 0 and a remainder of 70.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 70 and we're left with 70.
Append the next digit (6) from the dividend to 70 and continue with: 706 / 90

Let's proceed to step 3:
When dividing 706 by 90, we get 7 with a remainder of 76.
Record the quotient 7 as the next digit in the result. 
Result so far: 7.0
Subtracting 630 from 706 leaves us with 76.
Append the next digit (7) from the dividend to 76 and continue with: 767 / 90

On to step 4:
90 goes into 767 8 times with a remainder of 47.
The number 8 becomes the next digit in our result. 
Result so far: 78.0
Subtracting 720 from 767 leaves us with 47.
Take the next digit (8) from the dividend and append it to 47, then repeat: 478 / 90

Moving on to step 5:
90 goes into 478 5 times with a remainder of 28.
The number 5 becomes the next digit in our result. 
Result so far: 785.0
Deduct 450 from 478 and we're left with 28.
Append the next digit (1) from the dividend to 28 and continue with: 281 / 90

Advancing to step 6:
The number 90 fits into 281 3 times, leaving a remainder of 11.
The number 3 becomes the next digit in our result. 
Result so far: 7853.0
Subtracting 270 from 281 leaves us with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Step 7:
90 can be fit into 110 1 times, resulting in a remainder of 20.
Record the quotient 1 as the next digit in the result. 
Result so far: 7853.1
Subtract 90 from 110 to get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

On to step 8:
If we divide 200 by 90, we get 2 and a remainder of 20.
The number 2 becomes the next digit in our result. 
Result so far: 7853.12
If we take 180 away from 200, we end up with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Going ahead to step 9:
90 goes into 200 2 times with a remainder of 20.
The number 2 becomes the next digit in our result. 
Result so far: 7853.122
The remainder is 20 after subtracting 180 from 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

After the division, we end up with 7853.122 and a remainder of 0.002.