We look at the division of 470968 by 90 
We want to figure out the number of times 470968 can be divided by 90.

Going ahead to step 1:
When dividing 4 by 90, we get 0 with a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 4 to get 4.
Append the next digit (7) from the dividend to 4 and continue with: 47 / 90

On to step 2:
90 goes into 47 0 times with a remainder of 47.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 47 and we're left with 47.
Bring next digit (0) of the dividend behind the 47 and repeat the process: 470 / 90

Advancing to step 3:
470 divided by 90 is 5 with a remainder of 20.
Record the quotient 5 as the next digit in the result. 
Result so far: 5.0
Deduct 450 from 470 and we're left with 20.
Grab the next digit (9) from the dividend, add it to 20, then carry on: 209 / 90

On to step 4:
90 goes into 209 2 times with a remainder of 29.
Put 2 as the next digit of the answer. 
Result so far: 52.0
Deduct 180 from 209 and we're left with 29.
Bring next digit (6) of the dividend behind the 29 and repeat the process: 296 / 90

On to step 5:
296 divided by 90 is 3 with a remainder of 26.
Put 3 as the next digit of the answer. 
Result so far: 523.0
If we subtract 270 from 296, we get 26.
Fetch the next digit (8) from the dividend, attach it to 26 and continue: 268 / 90

Moving on to step 6:
90 can be fit into 268 2 times, resulting in a remainder of 88.
The next digit of our result is 2. 
Result so far: 5232.0
Subtracting 180 from 268 leaves us with 88.
Since there are no more digits in the dividend, we add a zero to the remainder making it 880, and continue the process.

Let's proceed to step 7:
When dividing 880 by 90, we get 9 with a remainder of 70.
Record the quotient 9 as the next digit in the result. 
Result so far: 5232.9
Deduct 810 from 880 and we're left 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.

Step 8:
The number 90 fits into 700 7 times, leaving a remainder of 70.
Write down 7 as next digit of the result. 
Result so far: 5232.97
Deduct 630 from 700 and we're left 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.

Going ahead to step 9:
700 divided by 90 is 7 with a remainder of 70.
Put 7 as the next digit of the answer. 
Result so far: 5232.977
Subtract 630 from 700 to 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 5232.977 with a balance of 0.007.