We look at the division of 6607 by 61 
We want to divide 6607 by 61.

Advancing to step 1:
61 can be fit into 6 0 times, resulting in a remainder of 6.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 6, we end up with 6.
Grab the next digit (6) from the dividend, add it to 6, then carry on: 66 / 61

Advancing to step 2:
If we divide 66 by 61, we get 1 and a remainder of 5.
The next digit of our result is 1. 
Result so far: 1.0
If we subtract 61 from 66, we get 5.
Append the next digit (0) from the dividend to 5 and continue with: 50 / 61

On to step 3:
61 goes into 50 0 times with a remainder of 50.
Record the quotient 0 as the next digit in the result. 
Result so far: 10.0
Deduct 0 from 50 and we're left with 50.
Take the next digit (7) from the dividend and append it to 50, then repeat: 507 / 61

Going ahead to step 4:
61 can be fit into 507 8 times, resulting in a remainder of 19.
The next digit of our result is 8. 
Result so far: 108.0
Deduct 488 from 507 and we're left with 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Advancing to step 5:
The number 61 fits into 190 3 times, leaving a remainder of 7.
Write down 3 as next digit of the result. 
Result so far: 108.3
Subtracting 183 from 190 leaves us with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Let's proceed to step 6:
61 can be fit into 70 1 times, resulting in a remainder of 9.
Put 1 as the next digit of the answer. 
Result so far: 108.31
If we take 61 away from 70, we end up with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

On to step 7:
When dividing 90 by 61, we get 1 with a remainder of 29.
Write down 1 as next digit of the result. 
Result so far: 108.311
Subtract 61 from 90 to get 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

The final outcome is 108.311, with a leftover of 0.0029.