We look at the division of 11646 by 975 
Our goal is to divide 11646 by 975.

On to step 1:
If we divide 1 by 975, we get 0 and a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Grab the next digit (1) from the dividend, add it to 1, then carry on: 11 / 975

Let's proceed to step 2:
975 can be fit into 11 0 times, resulting in a remainder of 11.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 11, we get 11.
Fetch the next digit (6) from the dividend, attach it to 11 and continue: 116 / 975

Advancing to step 3:
116 divided by 975 is 0 with a remainder of 116.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 116 leaves us with 116.
Bring next digit (4) of the dividend behind the 116 and repeat the process: 1164 / 975

On to step 4:
975 can be fit into 1164 1 times, resulting in a remainder of 189.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
The remainder is 189 after subtracting 975 from 1164.
Grab the next digit (6) from the dividend, add it to 189, then carry on: 1896 / 975

Moving on to step 5:
When dividing 1896 by 975, we get 1 with a remainder of 921.
Record the quotient 1 as the next digit in the result. 
Result so far: 11.0
If we subtract 975 from 1896, we get 921.
Since there are no more digits in the dividend, we add a zero to the remainder making it 9210, and continue the process.

On to step 6:
975 goes into 9210 9 times with a remainder of 435.
The number 9 becomes the next digit in our result. 
Result so far: 11.9
Subtracting 8775 from 9210 leaves us with 435.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4350, and continue the process.

Advancing to step 7:
975 goes into 4350 4 times with a remainder of 450.
The number 4 becomes the next digit in our result. 
Result so far: 11.94
If we take 3900 away from 4350, we end up with 450.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4500, and continue the process.

Advancing to step 8:
4500 divided by 975 is 4 with a remainder of 600.
Put 4 as the next digit of the answer. 
Result so far: 11.944
If we subtract 3900 from 4500, we get 600.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6000, and continue the process.

After the division, we end up with 11.944 and a remainder of 0.06.