967921 ÷ 90 
Our goal is to divide 967921 by 90.

Step 1:
If we divide 9 by 90, we get 0 and a remainder of 9.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 9, we get 9.
Append the next digit (6) from the dividend to 9 and continue with: 96 / 90

Advancing to step 2:
If we divide 96 by 90, we get 1 and a remainder of 6.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Deduct 90 from 96 and we're left with 6.
Take the next digit (7) from the dividend and append it to 6, then repeat: 67 / 90

Step 3:
The number 90 fits into 67 0 times, leaving a remainder of 67.
The next digit of our result is 0. 
Result so far: 10.0
Subtract 0 from 67 to get 67.
Bring next digit (9) of the dividend behind the 67 and repeat the process: 679 / 90

On to step 4:
When dividing 679 by 90, we get 7 with a remainder of 49.
Record the quotient 7 as the next digit in the result. 
Result so far: 107.0
If we subtract 630 from 679, we get 49.
Bring next digit (2) of the dividend behind the 49 and repeat the process: 492 / 90

Step 5:
When dividing 492 by 90, we get 5 with a remainder of 42.
Use 5 as the next digit of our solution. 
Result so far: 1075.0
If we subtract 450 from 492, we get 42.
Fetch the next digit (1) from the dividend, attach it to 42 and continue: 421 / 90

Step 6:
When dividing 421 by 90, we get 4 with a remainder of 61.
The number 4 becomes the next digit in our result. 
Result so far: 10754.0
The remainder is 61 after subtracting 360 from 421.
Since there are no more digits in the dividend, we add a zero to the remainder making it 610, and continue the process.

Step 7:
The number 90 fits into 610 6 times, leaving a remainder of 70.
The number 6 becomes the next digit in our result. 
Result so far: 10754.6
Subtracting 540 from 610 leaves us with 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

On to step 8:
If we divide 700 by 90, we get 7 and a remainder of 70.
Use 7 as the next digit of our solution. 
Result so far: 10754.67
Subtracting 630 from 700 leaves us with 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

Advancing to step 9:
If we divide 700 by 90, we get 7 and a remainder of 70.
Use 7 as the next digit of our solution. 
Result so far: 10754.677
If we subtract 630 from 700, we get 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

In conclusion, the division gives 10754.677 with a balance of 0.007.