We divide 126834 by 31
Our goal is to divide 126834 by 31.

Step 1:
The number 31 fits into 1 0 times, leaving a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Bring next digit (2) of the dividend behind the 1 and repeat the process: 12 / 31

Moving on to step 2:
31 can be fit into 12 0 times, resulting in a remainder of 12.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 12, we get 12.
Fetch the next digit (6) from the dividend, attach it to 12 and continue: 126 / 31

Moving on to step 3:
If we divide 126 by 31, we get 4 and a remainder of 2.
The next digit of our result is 4. 
Result so far: 4.0
Subtracting 124 from 126 leaves us with 2.
Include the next digit (8) from the dividend after 2, then repeat: 28 / 31

Step 4:
28 divided by 31 is 0 with a remainder of 28.
The number 0 becomes the next digit in our result. 
Result so far: 40.0
The remainder is 28 after subtracting 0 from 28.
Fetch the next digit (3) from the dividend, attach it to 28 and continue: 283 / 31

Moving on to step 5:
The number 31 fits into 283 9 times, leaving a remainder of 4.
Record the quotient 9 as the next digit in the result. 
Result so far: 409.0
Subtracting 279 from 283 leaves us with 4.
Bring next digit (4) of the dividend behind the 4 and repeat the process: 44 / 31

Going ahead to step 6:
When dividing 44 by 31, we get 1 with a remainder of 13.
Use 1 as the next digit of our solution. 
Result so far: 4091.0
If we subtract 31 from 44, we get 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Let's proceed to step 7:
31 can be fit into 130 4 times, resulting in a remainder of 6.
Use 4 as the next digit of our solution. 
Result so far: 4091.4
If we subtract 124 from 130, 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.

Going ahead to step 8:
31 goes into 60 1 times with a remainder of 29.
Write down 1 as next digit of the result. 
Result so far: 4091.41
If we take 31 away from 60, we end up with 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Advancing to step 9:
When dividing 290 by 31, we get 9 with a remainder of 11.
Write down 9 as next digit of the result. 
Result so far: 4091.419
Subtract 279 from 290 to get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Advancing to step 10:
31 can be fit into 110 3 times, resulting in a remainder of 17.
Use 3 as the next digit of our solution. 
Result so far: 4091.4193
Subtract 93 from 110 to 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 11:
31 goes into 170 5 times with a remainder of 15.
The number 5 becomes the next digit in our result. 
Result so far: 4091.41935
If we subtract 155 from 170, we get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Going ahead to step 12:
150 divided by 31 is 4 with a remainder of 26.
Use 4 as the next digit of our solution. 
Result so far: 4091.419354
Subtracting 124 from 150 leaves us with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Let's proceed to step 13:
31 can be fit into 260 8 times, resulting in a remainder of 12.
The number 8 becomes the next digit in our result. 
Result so far: 4091.4193548
The remainder is 12 after subtracting 248 from 260.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

On to step 14:
120 divided by 31 is 3 with a remainder of 27.
The number 3 becomes the next digit in our result. 
Result so far: 4091.41935483
If we take 93 away from 120, we end up with 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

The quotient of the division is 4091.41935483, and the remainder is 2.7e-08.