119288 ÷ 60 
Our goal is to divide 119288 by 60.

Step 1:
60 goes into 1 0 times with a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Append the next digit (1) from the dividend to 1 and continue with: 11 / 60

Moving on to step 2:
The number 60 fits into 11 0 times, leaving a remainder of 11.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 11, we end up with 11.
Fetch the next digit (9) from the dividend, attach it to 11 and continue: 119 / 60

Advancing to step 3:
60 can be fit into 119 1 times, resulting in a remainder of 59.
The next digit of our result is 1. 
Result so far: 1.0
If we subtract 60 from 119, we get 59.
Bring next digit (2) of the dividend behind the 59 and repeat the process: 592 / 60

Step 4:
60 goes into 592 9 times with a remainder of 52.
Record the quotient 9 as the next digit in the result. 
Result so far: 19.0
Subtracting 540 from 592 leaves us with 52.
Bring next digit (8) of the dividend behind the 52 and repeat the process: 528 / 60

Step 5:
528 divided by 60 is 8 with a remainder of 48.
Put 8 as the next digit of the answer. 
Result so far: 198.0
If we subtract 480 from 528, we get 48.
Take the next digit (8) from the dividend and append it to 48, then repeat: 488 / 60

On to step 6:
488 divided by 60 is 8 with a remainder of 8.
The next digit of our result is 8. 
Result so far: 1988.0
If we take 480 away from 488, we end up with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

On to step 7:
80 divided by 60 is 1 with a remainder of 20.
Record the quotient 1 as the next digit in the result. 
Result so far: 1988.1
If we subtract 60 from 80, we get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Advancing to step 8:
60 can be fit into 200 3 times, resulting in a remainder of 20.
The number 3 becomes the next digit in our result. 
Result so far: 1988.13
Subtract 180 from 200 to get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

On to step 9:
The number 60 fits into 200 3 times, leaving a remainder of 20.
Use 3 as the next digit of our solution. 
Result so far: 1988.133
Deduct 180 from 200 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.

The final result is 1988.133 with a remainder of 0.002.