We divide 125906 by 61
We want to figure out the number of times 125906 can be divided by 61.

On to step 1:
61 can be fit into 1 0 times, resulting in a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Append the next digit (2) from the dividend to 1 and continue with: 12 / 61

Let's proceed to step 2:
12 divided by 61 is 0 with a remainder of 12.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 12 after subtracting 0 from 12.
Fetch the next digit (5) from the dividend, attach it to 12 and continue: 125 / 61

Step 3:
The number 61 fits into 125 2 times, leaving a remainder of 3.
Write down 2 as next digit of the result. 
Result so far: 2.0
If we take 122 away from 125, we end up with 3.
Take the next digit (9) from the dividend and append it to 3, then repeat: 39 / 61

Moving on to step 4:
39 divided by 61 is 0 with a remainder of 39.
Put 0 as the next digit of the answer. 
Result so far: 20.0
If we subtract 0 from 39, we get 39.
Include the next digit (0) from the dividend after 39, then repeat: 390 / 61

On to step 5:
If we divide 390 by 61, we get 6 and a remainder of 24.
Record the quotient 6 as the next digit in the result. 
Result so far: 206.0
If we subtract 366 from 390, we get 24.
Append the next digit (6) from the dividend to 24 and continue with: 246 / 61

On to step 6:
If we divide 246 by 61, we get 4 and a remainder of 2.
The next digit of our result is 4. 
Result so far: 2064.0
If we subtract 244 from 246, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Step 7:
61 can be fit into 20 0 times, resulting in a remainder of 20.
The next digit of our result is 0. 
Result so far: 2064.0
Subtract 0 from 20 to get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Going ahead to step 8:
The number 61 fits into 200 3 times, leaving a remainder of 17.
The next digit of our result is 3. 
Result so far: 2064.03
If we subtract 183 from 200, we get 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Step 9:
The number 61 fits into 170 2 times, leaving a remainder of 48.
Use 2 as the next digit of our solution. 
Result so far: 2064.032
The remainder is 48 after subtracting 122 from 170.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Advancing to step 10:
When dividing 480 by 61, we get 7 with a remainder of 53.
Put 7 as the next digit of the answer. 
Result so far: 2064.0327
Subtracting 427 from 480 leaves us with 53.
Since there are no more digits in the dividend, we add a zero to the remainder making it 530, and continue the process.

On to step 11:
61 goes into 530 8 times with a remainder of 42.
The next digit of our result is 8. 
Result so far: 2064.03278
The remainder is 42 after subtracting 488 from 530.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

On to step 12:
420 divided by 61 is 6 with a remainder of 54.
Put 6 as the next digit of the answer. 
Result so far: 2064.032786
If we take 366 away from 420, we end up with 54.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

Advancing to step 13:
61 goes into 540 8 times with a remainder of 52.
The next digit of our result is 8. 
Result so far: 2064.0327868
Subtract 488 from 540 to get 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Step 14:
When dividing 520 by 61, we get 8 with a remainder of 32.
Use 8 as the next digit of our solution. 
Result so far: 2064.03278688
Deduct 488 from 520 and we're left with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

The quotient of the division is 2064.03278688, and the remainder is 3.2e-08.