114113 ÷ 60 
We want to figure out the number of times 114113 can be divided by 60.

Advancing to step 1:
60 can be fit into 1 0 times, resulting in a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Include the next digit (1) from the dividend after 1, then repeat: 11 / 60

Let's proceed to step 2:
The number 60 fits into 11 0 times, leaving a remainder of 11.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 11 to get 11.
Include the next digit (4) from the dividend after 11, then repeat: 114 / 60

Let's proceed to step 3:
If we divide 114 by 60, we get 1 and a remainder of 54.
Write down 1 as next digit of the result. 
Result so far: 1.0
The remainder is 54 after subtracting 60 from 114.
Include the next digit (1) from the dividend after 54, then repeat: 541 / 60

Going ahead to step 4:
541 divided by 60 is 9 with a remainder of 1.
The number 9 becomes the next digit in our result. 
Result so far: 19.0
Deduct 540 from 541 and we're left with 1.
Grab the next digit (1) from the dividend, add it to 1, then carry on: 11 / 60

Advancing to step 5:
If we divide 11 by 60, we get 0 and a remainder of 11.
Write down 0 as next digit of the result. 
Result so far: 190.0
The remainder is 11 after subtracting 0 from 11.
Take the next digit (3) from the dividend and append it to 11, then repeat: 113 / 60

On to step 6:
When dividing 113 by 60, we get 1 with a remainder of 53.
The number 1 becomes the next digit in our result. 
Result so far: 1901.0
If we subtract 60 from 113, we get 53.
Since there are no more digits in the dividend, we add a zero to the remainder making it 530, and continue the process.

On to step 7:
60 goes into 530 8 times with a remainder of 50.
Write down 8 as next digit of the result. 
Result so far: 1901.8
If we subtract 480 from 530, we get 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Going ahead to step 8:
500 divided by 60 is 8 with a remainder of 20.
Record the quotient 8 as the next digit in the result. 
Result so far: 1901.88
Deduct 480 from 500 and we're left with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

After the division, we end up with 1901.88 and a remainder of 0.02.