355214 ÷ 43 
We're looking to find how many times 43 goes into 355214.

Step 1:
The number 43 fits into 3 0 times, leaving a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 3 to get 3.
Grab the next digit (5) from the dividend, add it to 3, then carry on: 35 / 43

Step 2:
43 can be fit into 35 0 times, resulting in a remainder of 35.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 35 and we're left with 35.
Append the next digit (5) from the dividend to 35 and continue with: 355 / 43

Advancing to step 3:
355 divided by 43 is 8 with a remainder of 11.
Use 8 as the next digit of our solution. 
Result so far: 8.0
If we take 344 away from 355, we end up with 11.
Grab the next digit (2) from the dividend, add it to 11, then carry on: 112 / 43

Step 4:
When dividing 112 by 43, we get 2 with a remainder of 26.
The number 2 becomes the next digit in our result. 
Result so far: 82.0
Subtracting 86 from 112 leaves us with 26.
Fetch the next digit (1) from the dividend, attach it to 26 and continue: 261 / 43

Going ahead to step 5:
If we divide 261 by 43, we get 6 and a remainder of 3.
Use 6 as the next digit of our solution. 
Result so far: 826.0
Subtract 258 from 261 to get 3.
Bring next digit (4) of the dividend behind the 3 and repeat the process: 34 / 43

Let's proceed to step 6:
34 divided by 43 is 0 with a remainder of 34.
Put 0 as the next digit of the answer. 
Result so far: 8260.0
Subtract 0 from 34 to get 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Let's proceed to step 7:
When dividing 340 by 43, we get 7 with a remainder of 39.
Write down 7 as next digit of the result. 
Result so far: 8260.7
If we take 301 away from 340, we end up with 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

Moving on to step 8:
The number 43 fits into 390 9 times, leaving a remainder of 3.
Write down 9 as next digit of the result. 
Result so far: 8260.79
The remainder is 3 after subtracting 387 from 390.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Advancing to step 9:
43 can be fit into 30 0 times, resulting in a remainder of 30.
Write down 0 as next digit of the result. 
Result so far: 8260.79
Deduct 0 from 30 and we're left 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.

On to step 10:
43 can be fit into 300 6 times, resulting in a remainder of 42.
Record the quotient 6 as the next digit in the result. 
Result so far: 8260.7906
Subtracting 258 from 300 leaves us 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.

Advancing to step 11:
When dividing 420 by 43, we get 9 with a remainder of 33.
Write down 9 as next digit of the result. 
Result so far: 8260.79069
If we subtract 387 from 420, we get 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

On to step 12:
43 goes into 330 7 times with a remainder of 29.
The number 7 becomes the next digit in our result. 
Result so far: 8260.790697
Deduct 301 from 330 and we're left 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.

Going ahead to step 13:
The number 43 fits into 290 6 times, leaving a remainder of 32.
The number 6 becomes the next digit in our result. 
Result so far: 8260.7906976
Deduct 258 from 290 and we're left with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Moving on to step 14:
If we divide 320 by 43, we get 7 and a remainder of 19.
Use 7 as the next digit of our solution. 
Result so far: 8260.79069767
Deduct 301 from 320 and we're left with 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

The final outcome is 8260.79069767, with a leftover of 1.9e-08.