We're dividing 951271 by 60 
We want to figure out the number of times 951271 can be divided by 60.

Going ahead to step 1:
9 divided by 60 is 0 with a remainder of 9.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 9 leaves us with 9.
Append the next digit (5) from the dividend to 9 and continue with: 95 / 60

Going ahead to step 2:
If we divide 95 by 60, we get 1 and a remainder of 35.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Deduct 60 from 95 and we're left with 35.
Grab the next digit (1) from the dividend, add it to 35, then carry on: 351 / 60

Let's proceed to step 3:
The number 60 fits into 351 5 times, leaving a remainder of 51.
Use 5 as the next digit of our solution. 
Result so far: 15.0
Subtract 300 from 351 to get 51.
Include the next digit (2) from the dividend after 51, then repeat: 512 / 60

On to step 4:
512 divided by 60 is 8 with a remainder of 32.
Write down 8 as next digit of the result. 
Result so far: 158.0
If we take 480 away from 512, we end up with 32.
Fetch the next digit (7) from the dividend, attach it to 32 and continue: 327 / 60

Advancing to step 5:
The number 60 fits into 327 5 times, leaving a remainder of 27.
Use 5 as the next digit of our solution. 
Result so far: 1585.0
Subtracting 300 from 327 leaves us with 27.
Include the next digit (1) from the dividend after 27, then repeat: 271 / 60

Advancing to step 6:
When dividing 271 by 60, we get 4 with a remainder of 31.
The next digit of our result is 4. 
Result so far: 15854.0
If we subtract 240 from 271, we get 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Step 7:
The number 60 fits into 310 5 times, leaving a remainder of 10.
Put 5 as the next digit of the answer. 
Result so far: 15854.5
If we take 300 away from 310, we end up with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

On to step 8:
The number 60 fits into 100 1 times, leaving a remainder of 40.
The next digit of our result is 1. 
Result so far: 15854.51
Deduct 60 from 100 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.

Let's proceed to step 9:
If we divide 400 by 60, we get 6 and a remainder of 40.
Record the quotient 6 as the next digit in the result. 
Result so far: 15854.516
Subtracting 360 from 400 leaves us 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.

Step 10:
60 goes into 400 6 times with a remainder of 40.
Put 6 as the next digit of the answer. 
Result so far: 15854.5166
The remainder is 40 after subtracting 360 from 400.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

The final outcome is 15854.5166, with a leftover of 0.0004.