We divide 111118 by 60
We want to figure out the number of times 111118 can be divided by 60.

Step 1:
60 goes into 1 0 times with a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Include the next digit (1) from the dividend after 1, then repeat: 11 / 60

On to step 2:
When dividing 11 by 60, we get 0 with a remainder of 11.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 11, we end up with 11.
Fetch the next digit (1) from the dividend, attach it to 11 and continue: 111 / 60

Let's proceed to step 3:
The number 60 fits into 111 1 times, leaving a remainder of 51.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Subtract 60 from 111 to get 51.
Grab the next digit (1) from the dividend, add it to 51, then carry on: 511 / 60

Advancing to step 4:
The number 60 fits into 511 8 times, leaving a remainder of 31.
Put 8 as the next digit of the answer. 
Result so far: 18.0
Deduct 480 from 511 and we're left with 31.
Append the next digit (1) from the dividend to 31 and continue with: 311 / 60

Going ahead to step 5:
When dividing 311 by 60, we get 5 with a remainder of 11.
Use 5 as the next digit of our solution. 
Result so far: 185.0
The remainder is 11 after subtracting 300 from 311.
Append the next digit (8) from the dividend to 11 and continue with: 118 / 60

Going ahead to step 6:
When dividing 118 by 60, we get 1 with a remainder of 58.
Put 1 as the next digit of the answer. 
Result so far: 1851.0
If we take 60 away from 118, we end up with 58.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

Advancing to step 7:
When dividing 580 by 60, we get 9 with a remainder of 40.
Use 9 as the next digit of our solution. 
Result so far: 1851.9
If we subtract 540 from 580, 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 8:
60 goes into 400 6 times with a remainder of 40.
The number 6 becomes the next digit in our result. 
Result so far: 1851.96
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.

Step 9:
60 can be fit into 400 6 times, resulting in a remainder of 40.
Put 6 as the next digit of the answer. 
Result so far: 1851.966
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.

The quotient of the division is 1851.966, and the remainder is 0.004.