We look at the division of 625674 by 61 
We want to divide 625674 by 61.

Advancing to step 1:
When dividing 6 by 61, we get 0 with a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 6 leaves us with 6.
Take the next digit (2) from the dividend and append it to 6, then repeat: 62 / 61

Going ahead to step 2:
If we divide 62 by 61, we get 1 and a remainder of 1.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Subtract 61 from 62 to get 1.
Bring next digit (5) of the dividend behind the 1 and repeat the process: 15 / 61

Step 3:
61 can be fit into 15 0 times, resulting in a remainder of 15.
The next digit of our result is 0. 
Result so far: 10.0
Subtract 0 from 15 to get 15.
Include the next digit (6) from the dividend after 15, then repeat: 156 / 61

Going ahead to step 4:
The number 61 fits into 156 2 times, leaving a remainder of 34.
The next digit of our result is 2. 
Result so far: 102.0
Subtracting 122 from 156 leaves us with 34.
Append the next digit (7) from the dividend to 34 and continue with: 347 / 61

Going ahead to step 5:
When dividing 347 by 61, we get 5 with a remainder of 42.
Put 5 as the next digit of the answer. 
Result so far: 1025.0
The remainder is 42 after subtracting 305 from 347.
Fetch the next digit (4) from the dividend, attach it to 42 and continue: 424 / 61

Advancing to step 6:
When dividing 424 by 61, we get 6 with a remainder of 58.
The number 6 becomes the next digit in our result. 
Result so far: 10256.0
If we subtract 366 from 424, we get 58.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

Going ahead to step 7:
The number 61 fits into 580 9 times, leaving a remainder of 31.
Use 9 as the next digit of our solution. 
Result so far: 10256.9
Subtract 549 from 580 to get 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Advancing to step 8:
When dividing 310 by 61, we get 5 with a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 10256.95
Subtract 305 from 310 to get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Going ahead to step 9:
If we divide 50 by 61, we get 0 and a remainder of 50.
The number 0 becomes the next digit in our result. 
Result so far: 10256.95
Subtract 0 from 50 to get 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

On to step 10:
When dividing 500 by 61, we get 8 with a remainder of 12.
Write down 8 as next digit of the result. 
Result so far: 10256.9508
If we subtract 488 from 500, we get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Let's proceed to step 11:
The number 61 fits into 120 1 times, leaving a remainder of 59.
Put 1 as the next digit of the answer. 
Result so far: 10256.95081
Subtract 61 from 120 to get 59.
Since there are no more digits in the dividend, we add a zero to the remainder making it 590, and continue the process.

Step 12:
The number 61 fits into 590 9 times, leaving a remainder of 41.
Write down 9 as next digit of the result. 
Result so far: 10256.950819
The remainder is 41 after subtracting 549 from 590.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

Step 13:
410 divided by 61 is 6 with a remainder of 44.
Use 6 as the next digit of our solution. 
Result so far: 10256.9508196
If we subtract 366 from 410, we get 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 14:
If we divide 440 by 61, we get 7 and a remainder of 13.
Write down 7 as next digit of the result. 
Result so far: 10256.95081967
The remainder is 13 after subtracting 427 from 440.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

The final outcome is 10256.95081967, with a leftover of 1.3e-08.