126906 ÷ 53 
Our goal is to divide 126906 by 53.

Let's proceed to step 1:
When dividing 1 by 53, we get 0 with a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Take the next digit (2) from the dividend and append it to 1, then repeat: 12 / 53

Step 2:
If we divide 12 by 53, we get 0 and a remainder of 12.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 12, we get 12.
Take the next digit (6) from the dividend and append it to 12, then repeat: 126 / 53

Going ahead to step 3:
53 goes into 126 2 times with a remainder of 20.
The next digit of our result is 2. 
Result so far: 2.0
If we take 106 away from 126, we end up with 20.
Bring next digit (9) of the dividend behind the 20 and repeat the process: 209 / 53

Advancing to step 4:
53 goes into 209 3 times with a remainder of 50.
The next digit of our result is 3. 
Result so far: 23.0
If we subtract 159 from 209, we get 50.
Append the next digit (0) from the dividend to 50 and continue with: 500 / 53

Advancing to step 5:
If we divide 500 by 53, we get 9 and a remainder of 23.
Record the quotient 9 as the next digit in the result. 
Result so far: 239.0
If we subtract 477 from 500, we get 23.
Include the next digit (6) from the dividend after 23, then repeat: 236 / 53

Going ahead to step 6:
The number 53 fits into 236 4 times, leaving a remainder of 24.
Record the quotient 4 as the next digit in the result. 
Result so far: 2394.0
The remainder is 24 after subtracting 212 from 236.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Going ahead to step 7:
When dividing 240 by 53, we get 4 with a remainder of 28.
Record the quotient 4 as the next digit in the result. 
Result so far: 2394.4
If we take 212 away from 240, we end up with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Going ahead to step 8:
The number 53 fits into 280 5 times, leaving a remainder of 15.
The next digit of our result is 5. 
Result so far: 2394.45
The remainder is 15 after subtracting 265 from 280.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Moving on to step 9:
150 divided by 53 is 2 with a remainder of 44.
The number 2 becomes the next digit in our result. 
Result so far: 2394.452
If we subtract 106 from 150, we get 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Let's proceed to step 10:
53 goes into 440 8 times with a remainder of 16.
Record the quotient 8 as the next digit in the result. 
Result so far: 2394.4528
Deduct 424 from 440 and we're left with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Going ahead to step 11:
The number 53 fits into 160 3 times, leaving a remainder of 1.
Write down 3 as next digit of the result. 
Result so far: 2394.45283
If we take 159 away from 160, we end up with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Step 12:
53 can be fit into 10 0 times, resulting in a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 2394.45283
The remainder is 10 after subtracting 0 from 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Moving on to step 13:
53 can be fit into 100 1 times, resulting in a remainder of 47.
Use 1 as the next digit of our solution. 
Result so far: 2394.4528301
Deduct 53 from 100 and we're left with 47.
Since there are no more digits in the dividend, we add a zero to the remainder making it 470, and continue the process.

On to step 14:
470 divided by 53 is 8 with a remainder of 46.
The number 8 becomes the next digit in our result. 
Result so far: 2394.45283018
Subtract 424 from 470 to get 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

Our division results in 2394.45283018 with a remaining 4.6e-08.