125628 ÷ 61 
We want to divide 125628 by 61.

Going ahead to step 1:
61 can be fit into 1 0 times, resulting in a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Take the next digit (2) from the dividend and append it to 1, then repeat: 12 / 61

On to step 2:
61 can be fit into 12 0 times, resulting in a remainder of 12.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 12 leaves us with 12.
Include the next digit (5) from the dividend after 12, then repeat: 125 / 61

Advancing to step 3:
The number 61 fits into 125 2 times, leaving a remainder of 3.
Put 2 as the next digit of the answer. 
Result so far: 2.0
The remainder is 3 after subtracting 122 from 125.
Include the next digit (6) from the dividend after 3, then repeat: 36 / 61

Let's proceed to step 4:
When dividing 36 by 61, we get 0 with a remainder of 36.
Record the quotient 0 as the next digit in the result. 
Result so far: 20.0
The remainder is 36 after subtracting 0 from 36.
Grab the next digit (2) from the dividend, add it to 36, then carry on: 362 / 61

Going ahead to step 5:
If we divide 362 by 61, we get 5 and a remainder of 57.
The next digit of our result is 5. 
Result so far: 205.0
The remainder is 57 after subtracting 305 from 362.
Include the next digit (8) from the dividend after 57, then repeat: 578 / 61

Advancing to step 6:
61 can be fit into 578 9 times, resulting in a remainder of 29.
The next digit of our result is 9. 
Result so far: 2059.0
If we take 549 away from 578, 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.

Let's proceed to step 7:
61 goes into 290 4 times with a remainder of 46.
Use 4 as the next digit of our solution. 
Result so far: 2059.4
If we take 244 away from 290, we end up with 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

Advancing to step 8:
When dividing 460 by 61, we get 7 with a remainder of 33.
The next digit of our result is 7. 
Result so far: 2059.47
Subtracting 427 from 460 leaves us with 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

Advancing to step 9:
330 divided by 61 is 5 with a remainder of 25.
The next digit of our result is 5. 
Result so far: 2059.475
Subtract 305 from 330 to get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

On to step 10:
61 goes into 250 4 times with a remainder of 6.
The next digit of our result is 4. 
Result so far: 2059.4754
Subtract 244 from 250 to get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Step 11:
When dividing 60 by 61, we get 0 with a remainder of 60.
The next digit of our result is 0. 
Result so far: 2059.4754
Subtract 0 from 60 to get 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Step 12:
600 divided by 61 is 9 with a remainder of 51.
The next digit of our result is 9. 
Result so far: 2059.475409
The remainder is 51 after subtracting 549 from 600.
Since there are no more digits in the dividend, we add a zero to the remainder making it 510, and continue the process.

Step 13:
61 goes into 510 8 times with a remainder of 22.
Write down 8 as next digit of the result. 
Result so far: 2059.4754098
Subtracting 488 from 510 leaves us with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Going ahead to step 14:
61 can be fit into 220 3 times, resulting in a remainder of 37.
Use 3 as the next digit of our solution. 
Result so far: 2059.47540983
If we take 183 away from 220, we end up with 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

In conclusion, the division gives 2059.47540983 with a balance of 3.7e-08.