Let's divide 901963 by 9
We want to figure out the number of times 901963 can be divided by 9.

On to step 1:
When dividing 9 by 9, we get 1 with a remainder of 0.
The next digit of our result is 1. 
Result so far: 1.0
The remainder is 0 after subtracting 9 from 9.
Include the next digit (0) from the dividend after 0, then repeat: 0 / 9

Going ahead to step 2:
9 goes into 0 0 times with a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 10.0
Subtract 0 from 0 to get 0.
Bring next digit (1) of the dividend behind the 0 and repeat the process: 1 / 9

Moving on to step 3:
9 goes into 1 0 times with a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 100.0
If we subtract 0 from 1, we get 1.
Append the next digit (9) from the dividend to 1 and continue with: 19 / 9

Step 4:
19 divided by 9 is 2 with a remainder of 1.
The number 2 becomes the next digit in our result. 
Result so far: 1002.0
If we take 18 away from 19, we end up with 1.
Bring next digit (6) of the dividend behind the 1 and repeat the process: 16 / 9

Moving on to step 5:
If we divide 16 by 9, we get 1 and a remainder of 7.
Put 1 as the next digit of the answer. 
Result so far: 10021.0
Subtract 9 from 16 to get 7.
Include the next digit (3) from the dividend after 7, then repeat: 73 / 9

Going ahead to step 6:
9 can be fit into 73 8 times, resulting in a remainder of 1.
Use 8 as the next digit of our solution. 
Result so far: 100218.0
If we subtract 72 from 73, we get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

On to step 7:
The number 9 fits into 10 1 times, leaving a remainder of 1.
Use 1 as the next digit of our solution. 
Result so far: 100218.1
Subtracting 9 from 10 leaves us with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Going ahead to step 8:
10 divided by 9 is 1 with a remainder of 1.
Write down 1 as next digit of the result. 
Result so far: 100218.11
Subtract 9 from 10 to get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Our division results in 100218.11 with a remaining 0.001.