Let's divide 4171 by 60
We want to divide 4171 by 60.

On to step 1:
4 divided by 60 is 0 with a remainder of 4.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 4 and we're left with 4.
Take the next digit (1) from the dividend and append it to 4, then repeat: 41 / 60

Step 2:
The number 60 fits into 41 0 times, leaving a remainder of 41.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 41 to get 41.
Fetch the next digit (7) from the dividend, attach it to 41 and continue: 417 / 60

Advancing to step 3:
The number 60 fits into 417 6 times, leaving a remainder of 57.
Put 6 as the next digit of the answer. 
Result so far: 6.0
If we subtract 360 from 417, we get 57.
Include the next digit (1) from the dividend after 57, then repeat: 571 / 60

On to step 4:
60 goes into 571 9 times with a remainder of 31.
The number 9 becomes the next digit in our result. 
Result so far: 69.0
The remainder is 31 after subtracting 540 from 571.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Advancing to step 5:
When dividing 310 by 60, we get 5 with a remainder of 10.
Write down 5 as next digit of the result. 
Result so far: 69.5
The remainder is 10 after subtracting 300 from 310.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Advancing to step 6:
The number 60 fits into 100 1 times, leaving a remainder of 40.
Record the quotient 1 as the next digit in the result. 
Result so far: 69.51
Subtract 60 from 100 to get 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 7:
The number 60 fits into 400 6 times, leaving a remainder of 40.
Write down 6 as next digit of the result. 
Result so far: 69.516
If we take 360 away from 400, we end up 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 8:
60 goes into 400 6 times with a remainder of 40.
Record the quotient 6 as the next digit in the result. 
Result so far: 69.5166
Deduct 360 from 400 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.

In conclusion, the division gives 69.5166 with a balance of 0.0004.