We look at the division of 101266 by 60 
Let's see how many times 60 fits into 101266.

On to step 1:
If we divide 1 by 60, we get 0 and a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Bring next digit (0) of the dividend behind the 1 and repeat the process: 10 / 60

Advancing to step 2:
60 goes into 10 0 times with a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 10 and we're left with 10.
Take the next digit (1) from the dividend and append it to 10, then repeat: 101 / 60

Let's proceed to step 3:
The number 60 fits into 101 1 times, leaving a remainder of 41.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
The remainder is 41 after subtracting 60 from 101.
Include the next digit (2) from the dividend after 41, then repeat: 412 / 60

Step 4:
When dividing 412 by 60, we get 6 with a remainder of 52.
Use 6 as the next digit of our solution. 
Result so far: 16.0
Subtracting 360 from 412 leaves us with 52.
Take the next digit (6) from the dividend and append it to 52, then repeat: 526 / 60

Let's proceed to step 5:
526 divided by 60 is 8 with a remainder of 46.
Use 8 as the next digit of our solution. 
Result so far: 168.0
Subtract 480 from 526 to get 46.
Include the next digit (6) from the dividend after 46, then repeat: 466 / 60

Step 6:
466 divided by 60 is 7 with a remainder of 46.
The number 7 becomes the next digit in our result. 
Result so far: 1687.0
If we subtract 420 from 466, we get 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

Step 7:
60 can be fit into 460 7 times, resulting in a remainder of 40.
Write down 7 as next digit of the result. 
Result so far: 1687.7
Subtracting 420 from 460 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 8:
The number 60 fits into 400 6 times, leaving a remainder of 40.
Record the quotient 6 as the next digit in the result. 
Result so far: 1687.76
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.

On to step 9:
If we divide 400 by 60, we get 6 and a remainder of 40.
The next digit of our result is 6. 
Result so far: 1687.766
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.

Our division results in 1687.766 with a remaining 0.004.