Let's divide 953166 by 59
Our goal is to divide 953166 by 59.

Going ahead to step 1:
59 can be fit into 9 0 times, resulting in 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.
Fetch the next digit (5) from the dividend, attach it to 9 and continue: 95 / 59

Going ahead to step 2:
59 goes into 95 1 times with a remainder of 36.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
If we subtract 59 from 95, we get 36.
Fetch the next digit (3) from the dividend, attach it to 36 and continue: 363 / 59

On to step 3:
If we divide 363 by 59, we get 6 and a remainder of 9.
Put 6 as the next digit of the answer. 
Result so far: 16.0
Subtracting 354 from 363 leaves us with 9.
Bring next digit (1) of the dividend behind the 9 and repeat the process: 91 / 59

Step 4:
If we divide 91 by 59, we get 1 and a remainder of 32.
Use 1 as the next digit of our solution. 
Result so far: 161.0
If we subtract 59 from 91, we get 32.
Grab the next digit (6) from the dividend, add it to 32, then carry on: 326 / 59

Advancing to step 5:
59 goes into 326 5 times with a remainder of 31.
Record the quotient 5 as the next digit in the result. 
Result so far: 1615.0
If we take 295 away from 326, we end up with 31.
Bring next digit (6) of the dividend behind the 31 and repeat the process: 316 / 59

Step 6:
If we divide 316 by 59, we get 5 and a remainder of 21.
Write down 5 as next digit of the result. 
Result so far: 16155.0
The remainder is 21 after subtracting 295 from 316.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Advancing to step 7:
The number 59 fits into 210 3 times, leaving a remainder of 33.
The number 3 becomes the next digit in our result. 
Result so far: 16155.3
Subtracting 177 from 210 leaves us with 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

Advancing to step 8:
The number 59 fits into 330 5 times, leaving a remainder of 35.
Put 5 as the next digit of the answer. 
Result so far: 16155.35
The remainder is 35 after subtracting 295 from 330.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

On to step 9:
The number 59 fits into 350 5 times, leaving a remainder of 55.
Use 5 as the next digit of our solution. 
Result so far: 16155.355
If we subtract 295 from 350, we get 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

The final result is 16155.355 with a remainder of 0.0055.