5107 ÷ 61 
We're looking to find how many times 61 goes into 5107.

On to step 1:
When dividing 5 by 61, we get 0 with a remainder of 5.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 5 leaves us with 5.
Fetch the next digit (1) from the dividend, attach it to 5 and continue: 51 / 61

Step 2:
The number 61 fits into 51 0 times, leaving a remainder of 51.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 51, we get 51.
Append the next digit (0) from the dividend to 51 and continue with: 510 / 61

Advancing to step 3:
61 goes into 510 8 times with a remainder of 22.
The next digit of our result is 8. 
Result so far: 8.0
Subtract 488 from 510 to get 22.
Bring next digit (7) of the dividend behind the 22 and repeat the process: 227 / 61

On to step 4:
The number 61 fits into 227 3 times, leaving a remainder of 44.
The number 3 becomes the next digit in our result. 
Result so far: 83.0
If we take 183 away from 227, we end up with 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Going ahead to step 5:
61 can be fit into 440 7 times, resulting in a remainder of 13.
The number 7 becomes the next digit in our result. 
Result so far: 83.7
If we take 427 away from 440, we end up with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Moving on to step 6:
130 divided by 61 is 2 with a remainder of 8.
Put 2 as the next digit of the answer. 
Result so far: 83.72
Subtract 122 from 130 to 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.

Let's proceed to step 7:
The number 61 fits into 80 1 times, leaving a remainder of 19.
The next digit of our result is 1. 
Result so far: 83.721
The remainder is 19 after subtracting 61 from 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Step 8:
When dividing 190 by 61, we get 3 with a remainder of 7.
Write down 3 as next digit of the result. 
Result so far: 83.7213
Subtract 183 from 190 to get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Step 9:
61 can be fit into 70 1 times, resulting in a remainder of 9.
The number 1 becomes the next digit in our result. 
Result so far: 83.72131
Subtract 61 from 70 to get 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 10:
61 can be fit into 90 1 times, resulting in a remainder of 29.
The number 1 becomes the next digit in our result. 
Result so far: 83.721311
If we take 61 away from 90, we end up with 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Our division results in 83.721311 with a remaining 2.9e-06.