126314 ÷ 2 
Our goal is to divide 126314 by 2.

Advancing to step 1:
2 can be fit into 1 0 times, resulting in a remainder of 1.
Record the quotient 0 as the next digit in the result. 
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 / 2

Let's proceed to step 2:
When dividing 12 by 2, we get 6 with a remainder of 0.
Record the quotient 6 as the next digit in the result. 
Result so far: 6.0
Subtract 12 from 12 to get 0.
Grab the next digit (6) from the dividend, add it to 0, then carry on: 6 / 2

Going ahead to step 3:
2 can be fit into 6 3 times, resulting in a remainder of 0.
The number 3 becomes the next digit in our result. 
Result so far: 63.0
If we take 6 away from 6, we end up with 0.
Bring next digit (3) of the dividend behind the 0 and repeat the process: 3 / 2

Moving on to step 4:
2 can be fit into 3 1 times, resulting in a remainder of 1.
Use 1 as the next digit of our solution. 
Result so far: 631.0
If we subtract 2 from 3, we get 1.
Append the next digit (1) from the dividend to 1 and continue with: 11 / 2

Going ahead to step 5:
When dividing 11 by 2, we get 5 with a remainder of 1.
The next digit of our result is 5. 
Result so far: 6315.0
Subtracting 10 from 11 leaves us with 1.
Include the next digit (4) from the dividend after 1, then repeat: 14 / 2

Moving on to step 6:
If we divide 14 by 2, we get 7 and a remainder of 0.
Use 7 as the next digit of our solution. 
Result so far: 63157.0
If we take 14 away from 14, we end up 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.

Advancing to step 7:
2 goes into 0 0 times with a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 63157.0
If we take 0 away from 0, we end up 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.

On to step 8:
2 goes into 0 0 times with a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 63157.0
The remainder is 0 after subtracting 0 from 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

After the division, we end up with 63157.0 and a remainder of 0.0.