We divide 6614 by 60
We want to figure out the number of times 6614 can be divided by 60.

Advancing to step 1:
60 can be fit into 6 0 times, resulting in a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 6 and we're left with 6.
Take the next digit (6) from the dividend and append it to 6, then repeat: 66 / 60

Step 2:
The number 60 fits into 66 1 times, leaving a remainder of 6.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Subtracting 60 from 66 leaves us with 6.
Grab the next digit (1) from the dividend, add it to 6, then carry on: 61 / 60

Step 3:
If we divide 61 by 60, we get 1 and a remainder of 1.
Write down 1 as next digit of the result. 
Result so far: 11.0
Deduct 60 from 61 and we're left with 1.
Grab the next digit (4) from the dividend, add it to 1, then carry on: 14 / 60

Going ahead to step 4:
When dividing 14 by 60, we get 0 with a remainder of 14.
The next digit of our result is 0. 
Result so far: 110.0
Deduct 0 from 14 and we're left with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Step 5:
60 can be fit into 140 2 times, resulting in a remainder of 20.
The number 2 becomes the next digit in our result. 
Result so far: 110.2
If we subtract 120 from 140, 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.

On to step 6:
60 goes into 200 3 times with a remainder of 20.
Write down 3 as next digit of the result. 
Result so far: 110.23
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.

Moving on to step 7:
200 divided by 60 is 3 with a remainder of 20.
Write down 3 as next digit of the result. 
Result so far: 110.233
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.

The quotient of the division is 110.233, and the remainder is 0.002.