We look at the division of 271090 by 60 
We want to figure out the number of times 271090 can be divided by 60.

Moving on to step 1:
60 goes into 2 0 times with a remainder of 2.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 2 to get 2.
Append the next digit (7) from the dividend to 2 and continue with: 27 / 60

Step 2:
The number 60 fits into 27 0 times, leaving a remainder of 27.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 27 leaves us with 27.
Include the next digit (1) from the dividend after 27, then repeat: 271 / 60

Moving on to step 3:
271 divided by 60 is 4 with a remainder of 31.
Put 4 as the next digit of the answer. 
Result so far: 4.0
Deduct 240 from 271 and we're left with 31.
Bring next digit (0) of the dividend behind the 31 and repeat the process: 310 / 60

On to step 4:
If we divide 310 by 60, we get 5 and a remainder of 10.
Put 5 as the next digit of the answer. 
Result so far: 45.0
Subtract 300 from 310 to get 10.
Include the next digit (9) from the dividend after 10, then repeat: 109 / 60

Advancing to step 5:
The number 60 fits into 109 1 times, leaving a remainder of 49.
Use 1 as the next digit of our solution. 
Result so far: 451.0
Subtracting 60 from 109 leaves us with 49.
Fetch the next digit (0) from the dividend, attach it to 49 and continue: 490 / 60

Step 6:
When dividing 490 by 60, we get 8 with a remainder of 10.
The next digit of our result is 8. 
Result so far: 4518.0
Subtract 480 from 490 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 7:
100 divided by 60 is 1 with a remainder of 40.
The next digit of our result is 1. 
Result so far: 4518.1
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.

Step 8:
When dividing 400 by 60, we get 6 with a remainder of 40.
Write down 6 as next digit of the result. 
Result so far: 4518.16
If we subtract 360 from 400, we 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.

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: 4518.166
Subtract 360 from 400 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.

The quotient of the division is 4518.166, and the remainder is 0.004.