We look at the division of 126559 by 61 
Let's see how many times 61 fits into 126559.

Let's proceed to step 1:
61 goes into 1 0 times with a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Fetch the next digit (2) from the dividend, attach it to 1 and continue: 12 / 61

Let's proceed to step 2:
If we divide 12 by 61, we get 0 and a remainder of 12.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 12 and we're left with 12.
Take the next digit (6) from the dividend and append it to 12, then repeat: 126 / 61

On to step 3:
126 divided by 61 is 2 with a remainder of 4.
Put 2 as the next digit of the answer. 
Result so far: 2.0
If we subtract 122 from 126, we get 4.
Grab the next digit (5) from the dividend, add it to 4, then carry on: 45 / 61

Let's proceed to step 4:
When dividing 45 by 61, we get 0 with a remainder of 45.
The next digit of our result is 0. 
Result so far: 20.0
The remainder is 45 after subtracting 0 from 45.
Include the next digit (5) from the dividend after 45, then repeat: 455 / 61

Step 5:
The number 61 fits into 455 7 times, leaving a remainder of 28.
The next digit of our result is 7. 
Result so far: 207.0
If we subtract 427 from 455, we get 28.
Take the next digit (9) from the dividend and append it to 28, then repeat: 289 / 61

On to step 6:
61 can be fit into 289 4 times, resulting in a remainder of 45.
Use 4 as the next digit of our solution. 
Result so far: 2074.0
If we take 244 away from 289, we end up with 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Moving on to step 7:
The number 61 fits into 450 7 times, leaving a remainder of 23.
Record the quotient 7 as the next digit in the result. 
Result so far: 2074.7
Subtract 427 from 450 to get 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Moving on to step 8:
61 goes into 230 3 times with a remainder of 47.
Put 3 as the next digit of the answer. 
Result so far: 2074.73
If we take 183 away from 230, we end up with 47.
Since there are no more digits in the dividend, we add a zero to the remainder making it 470, and continue the process.

Advancing to step 9:
61 can be fit into 470 7 times, resulting in a remainder of 43.
The next digit of our result is 7. 
Result so far: 2074.737
Subtract 427 from 470 to get 43.
Since there are no more digits in the dividend, we add a zero to the remainder making it 430, and continue the process.

Let's proceed to step 10:
The number 61 fits into 430 7 times, leaving a remainder of 3.
Put 7 as the next digit of the answer. 
Result so far: 2074.7377
Subtract 427 from 430 to get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

In conclusion, the division gives 2074.7377 with a balance of 3e-05.