We look at the division of 1163 by 61 
Our goal is to divide 1163 by 61.

Advancing to step 1:
When dividing 1 by 61, we get 0 with a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Bring next digit (1) of the dividend behind the 1 and repeat the process: 11 / 61

Going ahead to step 2:
The number 61 fits into 11 0 times, leaving a remainder of 11.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 11 and we're left with 11.
Bring next digit (6) of the dividend behind the 11 and repeat the process: 116 / 61

Moving on to step 3:
If we divide 116 by 61, we get 1 and a remainder of 55.
The next digit of our result is 1. 
Result so far: 1.0
Subtract 61 from 116 to get 55.
Include the next digit (3) from the dividend after 55, then repeat: 553 / 61

Moving on to step 4:
If we divide 553 by 61, we get 9 and a remainder of 4.
Record the quotient 9 as the next digit in the result. 
Result so far: 19.0
If we take 549 away from 553, we end up with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Advancing to step 5:
61 goes into 40 0 times with a remainder of 40.
Use 0 as the next digit of our solution. 
Result so far: 19.0
Deduct 0 from 40 and we're left with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

On to step 6:
If we divide 400 by 61, we get 6 and a remainder of 34.
Put 6 as the next digit of the answer. 
Result so far: 19.06
The remainder is 34 after subtracting 366 from 400.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Going ahead to step 7:
If we divide 340 by 61, we get 5 and a remainder of 35.
Record the quotient 5 as the next digit in the result. 
Result so far: 19.065
If we subtract 305 from 340, we get 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Moving on to step 8:
The number 61 fits into 350 5 times, leaving a remainder of 45.
The next digit of our result is 5. 
Result so far: 19.0655
Subtract 305 from 350 to get 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Our division results in 19.0655 with a remaining 0.00045.