126909 ÷ 37 
Our goal is to divide 126909 by 37.

On to step 1:
1 divided by 37 is 0 with a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Fetch the next digit (2) from the dividend, attach it to 1 and continue: 12 / 37

Going ahead to step 2:
37 goes into 12 0 times with a remainder of 12.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 12 and we're left with 12.
Fetch the next digit (6) from the dividend, attach it to 12 and continue: 126 / 37

Going ahead to step 3:
126 divided by 37 is 3 with a remainder of 15.
Put 3 as the next digit of the answer. 
Result so far: 3.0
Subtract 111 from 126 to get 15.
Bring next digit (9) of the dividend behind the 15 and repeat the process: 159 / 37

Step 4:
37 goes into 159 4 times with a remainder of 11.
Record the quotient 4 as the next digit in the result. 
Result so far: 34.0
The remainder is 11 after subtracting 148 from 159.
Include the next digit (0) from the dividend after 11, then repeat: 110 / 37

On to step 5:
If we divide 110 by 37, we get 2 and a remainder of 36.
The next digit of our result is 2. 
Result so far: 342.0
Deduct 74 from 110 and we're left with 36.
Grab the next digit (9) from the dividend, add it to 36, then carry on: 369 / 37

On to step 6:
369 divided by 37 is 9 with a remainder of 36.
Put 9 as the next digit of the answer. 
Result so far: 3429.0
Subtracting 333 from 369 leaves us with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Moving on to step 7:
37 can be fit into 360 9 times, resulting in a remainder of 27.
Write down 9 as next digit of the result. 
Result so far: 3429.9
The remainder is 27 after subtracting 333 from 360.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Moving on to step 8:
270 divided by 37 is 7 with a remainder of 11.
Write down 7 as next digit of the result. 
Result so far: 3429.97
If we subtract 259 from 270, we 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.

Step 9:
If we divide 110 by 37, we get 2 and a remainder of 36.
The number 2 becomes the next digit in our result. 
Result so far: 3429.972
Subtracting 74 from 110 leaves us with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Let's proceed to step 10:
37 can be fit into 360 9 times, resulting in a remainder of 27.
Write down 9 as next digit of the result. 
Result so far: 3429.9729
If we take 333 away from 360, 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.

Step 11:
37 goes into 270 7 times with a remainder of 11.
Write down 7 as next digit of the result. 
Result so far: 3429.97297
Deduct 259 from 270 and we're left with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Going ahead to step 12:
110 divided by 37 is 2 with a remainder of 36.
The number 2 becomes the next digit in our result. 
Result so far: 3429.972972
Deduct 74 from 110 and we're left with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Advancing to step 13:
If we divide 360 by 37, we get 9 and a remainder of 27.
The next digit of our result is 9. 
Result so far: 3429.9729729
The remainder is 27 after subtracting 333 from 360.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Advancing to step 14:
37 can be fit into 270 7 times, resulting in a remainder of 11.
The next digit of our result is 7. 
Result so far: 3429.97297297
If we subtract 259 from 270, we 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.

Our division results in 3429.97297297 with a remaining 1.1e-08.