125739 ÷ 8 
We're looking to find how many times 8 goes into 125739.

On to step 1:
1 divided by 8 is 0 with a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Include the next digit (2) from the dividend after 1, then repeat: 12 / 8

On to step 2:
The number 8 fits into 12 1 times, leaving a remainder of 4.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Deduct 8 from 12 and we're left with 4.
Bring next digit (5) of the dividend behind the 4 and repeat the process: 45 / 8

Advancing to step 3:
The number 8 fits into 45 5 times, leaving a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 15.0
The remainder is 5 after subtracting 40 from 45.
Bring next digit (7) of the dividend behind the 5 and repeat the process: 57 / 8

Advancing to step 4:
The number 8 fits into 57 7 times, leaving a remainder of 1.
The number 7 becomes the next digit in our result. 
Result so far: 157.0
Subtract 56 from 57 to get 1.
Grab the next digit (3) from the dividend, add it to 1, then carry on: 13 / 8

Advancing to step 5:
If we divide 13 by 8, we get 1 and a remainder of 5.
The number 1 becomes the next digit in our result. 
Result so far: 1571.0
If we take 8 away from 13, we end up with 5.
Bring next digit (9) of the dividend behind the 5 and repeat the process: 59 / 8

Let's proceed to step 6:
8 can be fit into 59 7 times, resulting in a remainder of 3.
Use 7 as the next digit of our solution. 
Result so far: 15717.0
Deduct 56 from 59 and we're left with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Step 7:
If we divide 30 by 8, we get 3 and a remainder of 6.
Record the quotient 3 as the next digit in the result. 
Result so far: 15717.3
If we subtract 24 from 30, we 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 8:
If we divide 60 by 8, we get 7 and a remainder of 4.
Put 7 as the next digit of the answer. 
Result so far: 15717.37
If we take 56 away from 60, we end up with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Advancing to step 9:
When dividing 40 by 8, we get 5 with a remainder of 0.
Put 5 as the next digit of the answer. 
Result so far: 15717.375
If we subtract 40 from 40, we get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Advancing to step 10:
If we divide 0 by 8, we get 0 and a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 15717.375
Subtracting 0 from 0 leaves us with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Going ahead to step 11:
If we divide 0 by 8, we get 0 and a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 15717.375
Subtract 0 from 0 to get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

The quotient of the division is 15717.375, and the remainder is 0.0.