We look at the division of 125914 by 66 
Our goal is to divide 125914 by 66.

Moving on to step 1:
The number 66 fits into 1 0 times, leaving a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Grab the next digit (2) from the dividend, add it to 1, then carry on: 12 / 66

On to step 2:
66 goes into 12 0 times with a remainder of 12.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 12, we end up with 12.
Bring next digit (5) of the dividend behind the 12 and repeat the process: 125 / 66

Let's proceed to step 3:
When dividing 125 by 66, we get 1 with a remainder of 59.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Deduct 66 from 125 and we're left with 59.
Include the next digit (9) from the dividend after 59, then repeat: 599 / 66

Moving on to step 4:
66 goes into 599 9 times with a remainder of 5.
The next digit of our result is 9. 
Result so far: 19.0
Deduct 594 from 599 and we're left with 5.
Take the next digit (1) from the dividend and append it to 5, then repeat: 51 / 66

On to step 5:
51 divided by 66 is 0 with a remainder of 51.
Put 0 as the next digit of the answer. 
Result so far: 190.0
Subtract 0 from 51 to get 51.
Include the next digit (4) from the dividend after 51, then repeat: 514 / 66

Advancing to step 6:
The number 66 fits into 514 7 times, leaving a remainder of 52.
Use 7 as the next digit of our solution. 
Result so far: 1907.0
If we take 462 away from 514, we end up with 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 7:
The number 66 fits into 520 7 times, leaving a remainder of 58.
Put 7 as the next digit of the answer. 
Result so far: 1907.7
Subtract 462 from 520 to 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.

Step 8:
66 can be fit into 580 8 times, resulting in a remainder of 52.
Record the quotient 8 as the next digit in the result. 
Result so far: 1907.78
Subtracting 528 from 580 leaves us with 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Advancing to step 9:
520 divided by 66 is 7 with a remainder of 58.
Write down 7 as next digit of the result. 
Result so far: 1907.787
Subtract 462 from 520 to 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.

On to step 10:
If we divide 580 by 66, we get 8 and a remainder of 52.
Put 8 as the next digit of the answer. 
Result so far: 1907.7878
Subtract 528 from 580 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.

On to step 11:
When dividing 520 by 66, we get 7 with a remainder of 58.
The number 7 becomes the next digit in our result. 
Result so far: 1907.78787
The remainder is 58 after subtracting 462 from 520.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

Moving on to step 12:
66 can be fit into 580 8 times, resulting in a remainder of 52.
The number 8 becomes the next digit in our result. 
Result so far: 1907.787878
If we take 528 away from 580, we end up with 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Advancing to step 13:
520 divided by 66 is 7 with a remainder of 58.
The number 7 becomes the next digit in our result. 
Result so far: 1907.7878787
Deduct 462 from 520 and we're left with 58.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

Let's proceed to step 14:
66 can be fit into 580 8 times, resulting in a remainder of 52.
Use 8 as the next digit of our solution. 
Result so far: 1907.78787878
Deduct 528 from 580 and we're left with 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

After the division, we end up with 1907.78787878 and a remainder of 5.2e-08.