We look at the division of 353401 by 43 
We're looking to find how many times 43 goes into 353401.

Let's proceed to step 1:
When dividing 3 by 43, we get 0 with a remainder of 3.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 3, we get 3.
Fetch the next digit (5) from the dividend, attach it to 3 and continue: 35 / 43

On to step 2:
The number 43 fits into 35 0 times, leaving a remainder of 35.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 35 and we're left with 35.
Bring next digit (3) of the dividend behind the 35 and repeat the process: 353 / 43

Step 3:
43 goes into 353 8 times with a remainder of 9.
Put 8 as the next digit of the answer. 
Result so far: 8.0
If we subtract 344 from 353, we get 9.
Append the next digit (4) from the dividend to 9 and continue with: 94 / 43

Advancing to step 4:
If we divide 94 by 43, we get 2 and a remainder of 8.
Record the quotient 2 as the next digit in the result. 
Result so far: 82.0
If we take 86 away from 94, we end up with 8.
Fetch the next digit (0) from the dividend, attach it to 8 and continue: 80 / 43

On to step 5:
43 goes into 80 1 times with a remainder of 37.
The next digit of our result is 1. 
Result so far: 821.0
Deduct 43 from 80 and we're left with 37.
Include the next digit (1) from the dividend after 37, then repeat: 371 / 43

Moving on to step 6:
43 goes into 371 8 times with a remainder of 27.
Write down 8 as next digit of the result. 
Result so far: 8218.0
If we subtract 344 from 371, we get 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 7:
If we divide 270 by 43, we get 6 and a remainder of 12.
Use 6 as the next digit of our solution. 
Result so far: 8218.6
If we subtract 258 from 270, we get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Advancing to step 8:
When dividing 120 by 43, we get 2 with a remainder of 34.
The number 2 becomes the next digit in our result. 
Result so far: 8218.62
Subtracting 86 from 120 leaves us with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Step 9:
If we divide 340 by 43, we get 7 and a remainder of 39.
Use 7 as the next digit of our solution. 
Result so far: 8218.627
If we subtract 301 from 340, we get 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

On to step 10:
When dividing 390 by 43, we get 9 with a remainder of 3.
Record the quotient 9 as the next digit in the result. 
Result so far: 8218.6279
Subtract 387 from 390 to get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

On to step 11:
The number 43 fits into 30 0 times, leaving a remainder of 30.
The next digit of our result is 0. 
Result so far: 8218.6279
If we take 0 away from 30, we end up with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Going ahead to step 12:
300 divided by 43 is 6 with a remainder of 42.
Put 6 as the next digit of the answer. 
Result so far: 8218.627906
If we take 258 away from 300, we end up with 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

On to step 13:
If we divide 420 by 43, we get 9 and a remainder of 33.
Record the quotient 9 as the next digit in the result. 
Result so far: 8218.6279069
Subtracting 387 from 420 leaves us with 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

Going ahead to step 14:
43 can be fit into 330 7 times, resulting in a remainder of 29.
The number 7 becomes the next digit in our result. 
Result so far: 8218.62790697
If we take 301 away from 330, 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.

After the division, we end up with 8218.62790697 and a remainder of 2.9e-08.