We're dividing 126829 by 16 
We want to divide 126829 by 16.

Step 1:
If we divide 1 by 16, we get 0 and a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Fetch the next digit (2) from the dividend, attach it to 1 and continue: 12 / 16

Going ahead to step 2:
12 divided by 16 is 0 with a remainder of 12.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 12, we get 12.
Bring next digit (6) of the dividend behind the 12 and repeat the process: 126 / 16

On to step 3:
16 goes into 126 7 times with a remainder of 14.
The number 7 becomes the next digit in our result. 
Result so far: 7.0
If we subtract 112 from 126, we get 14.
Take the next digit (8) from the dividend and append it to 14, then repeat: 148 / 16

On to step 4:
The number 16 fits into 148 9 times, leaving a remainder of 4.
Write down 9 as next digit of the result. 
Result so far: 79.0
If we subtract 144 from 148, we get 4.
Append the next digit (2) from the dividend to 4 and continue with: 42 / 16

Advancing to step 5:
16 can be fit into 42 2 times, resulting in a remainder of 10.
Use 2 as the next digit of our solution. 
Result so far: 792.0
Subtracting 32 from 42 leaves us with 10.
Grab the next digit (9) from the dividend, add it to 10, then carry on: 109 / 16

Moving on to step 6:
109 divided by 16 is 6 with a remainder of 13.
Write down 6 as next digit of the result. 
Result so far: 7926.0
Deduct 96 from 109 and we're left with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Going ahead to step 7:
16 goes into 130 8 times with a remainder of 2.
The number 8 becomes the next digit in our result. 
Result so far: 7926.8
If we take 128 away from 130, we end up with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

On to step 8:
16 can be fit into 20 1 times, resulting in a remainder of 4.
Record the quotient 1 as the next digit in the result. 
Result so far: 7926.81
The remainder is 4 after subtracting 16 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Let's proceed to step 9:
40 divided by 16 is 2 with a remainder of 8.
Record the quotient 2 as the next digit in the result. 
Result so far: 7926.812
The remainder is 8 after subtracting 32 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Advancing to step 10:
The number 16 fits into 80 5 times, leaving a remainder of 0.
Record the quotient 5 as the next digit in the result. 
Result so far: 7926.8125
If we subtract 80 from 80, 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.

Moving on to step 11:
If we divide 0 by 16, we get 0 and a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 7926.8125
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.

On to step 12:
0 divided by 16 is 0 with a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 7926.8125
Deduct 0 from 0 and we're left 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.

After the division, we end up with 7926.8125 and a remainder of 0.0.