66188 ÷ 60 
We're looking to find how many times 60 goes into 66188.

Going ahead to step 1:
60 goes into 6 0 times with a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 6, we end up with 6.
Append the next digit (6) from the dividend to 6 and continue with: 66 / 60

Going ahead to step 2:
60 can be fit into 66 1 times, resulting in a remainder of 6.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
If we subtract 60 from 66, we get 6.
Fetch the next digit (1) from the dividend, attach it to 6 and continue: 61 / 60

Moving on to step 3:
If we divide 61 by 60, we get 1 and a remainder of 1.
The number 1 becomes the next digit in our result. 
Result so far: 11.0
Subtract 60 from 61 to get 1.
Bring next digit (8) of the dividend behind the 1 and repeat the process: 18 / 60

Going ahead to step 4:
If we divide 18 by 60, we get 0 and a remainder of 18.
Write down 0 as next digit of the result. 
Result so far: 110.0
The remainder is 18 after subtracting 0 from 18.
Include the next digit (8) from the dividend after 18, then repeat: 188 / 60

Step 5:
60 can be fit into 188 3 times, resulting in a remainder of 8.
Put 3 as the next digit of the answer. 
Result so far: 1103.0
If we subtract 180 from 188, we get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Moving on to step 6:
If we divide 80 by 60, we get 1 and a remainder of 20.
Use 1 as the next digit of our solution. 
Result so far: 1103.1
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.

Let's proceed to step 7:
200 divided by 60 is 3 with a remainder of 20.
The next digit of our result is 3. 
Result so far: 1103.13
If we take 180 away from 200, we end up 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.

On to step 8:
If we divide 200 by 60, we get 3 and a remainder of 20.
The number 3 becomes the next digit in our result. 
Result so far: 1103.133
If we subtract 180 from 200, 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.

In conclusion, the division gives 1103.133 with a balance of 0.002.