Let's divide 437841 by 34
We want to divide 437841 by 34.

Going ahead to step 1:
When dividing 4 by 34, we get 0 with a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 4, we end up with 4.
Include the next digit (3) from the dividend after 4, then repeat: 43 / 34

Step 2:
43 divided by 34 is 1 with a remainder of 9.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Deduct 34 from 43 and we're left with 9.
Include the next digit (7) from the dividend after 9, then repeat: 97 / 34

Step 3:
If we divide 97 by 34, we get 2 and a remainder of 29.
Write down 2 as next digit of the result. 
Result so far: 12.0
The remainder is 29 after subtracting 68 from 97.
Bring next digit (8) of the dividend behind the 29 and repeat the process: 298 / 34

On to step 4:
34 can be fit into 298 8 times, resulting in a remainder of 26.
Write down 8 as next digit of the result. 
Result so far: 128.0
The remainder is 26 after subtracting 272 from 298.
Append the next digit (4) from the dividend to 26 and continue with: 264 / 34

Going ahead to step 5:
If we divide 264 by 34, we get 7 and a remainder of 26.
Write down 7 as next digit of the result. 
Result so far: 1287.0
Deduct 238 from 264 and we're left with 26.
Grab the next digit (1) from the dividend, add it to 26, then carry on: 261 / 34

Step 6:
If we divide 261 by 34, we get 7 and a remainder of 23.
The next digit of our result is 7. 
Result so far: 12877.0
If we take 238 away from 261, we end up with 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Let's proceed to step 7:
The number 34 fits into 230 6 times, leaving a remainder of 26.
Use 6 as the next digit of our solution. 
Result so far: 12877.6
Subtract 204 from 230 to get 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Advancing to step 8:
34 goes into 260 7 times with a remainder of 22.
Use 7 as the next digit of our solution. 
Result so far: 12877.67
If we subtract 238 from 260, we get 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Advancing to step 9:
34 can be fit into 220 6 times, resulting in a remainder of 16.
Write down 6 as next digit of the result. 
Result so far: 12877.676
If we subtract 204 from 220, we get 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 10:
The number 34 fits into 160 4 times, leaving a remainder of 24.
Write down 4 as next digit of the result. 
Result so far: 12877.6764
The remainder is 24 after subtracting 136 from 160.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Let's proceed to step 11:
When dividing 240 by 34, we get 7 with a remainder of 2.
Record the quotient 7 as the next digit in the result. 
Result so far: 12877.67647
If we subtract 238 from 240, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Advancing to step 12:
34 can be fit into 20 0 times, resulting in a remainder of 20.
Use 0 as the next digit of our solution. 
Result so far: 12877.67647
If we subtract 0 from 20, we get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Step 13:
34 goes into 200 5 times with a remainder of 30.
Use 5 as the next digit of our solution. 
Result so far: 12877.6764705
Subtract 170 from 200 to get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Step 14:
If we divide 300 by 34, we get 8 and a remainder of 28.
Write down 8 as next digit of the result. 
Result so far: 12877.67647058
If we take 272 away from 300, 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.

After the division, we end up with 12877.67647058 and a remainder of 2.8e-08.