We're dividing 414343 by 79 
Let's see how many times 79 fits into 414343.

Going ahead to step 1:
If we divide 4 by 79, we get 0 and a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 4, we end up with 4.
Fetch the next digit (1) from the dividend, attach it to 4 and continue: 41 / 79

Moving on to step 2:
79 goes into 41 0 times with a remainder of 41.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 41 to get 41.
Bring next digit (4) of the dividend behind the 41 and repeat the process: 414 / 79

Advancing to step 3:
414 divided by 79 is 5 with a remainder of 19.
Put 5 as the next digit of the answer. 
Result so far: 5.0
The remainder is 19 after subtracting 395 from 414.
Bring next digit (3) of the dividend behind the 19 and repeat the process: 193 / 79

Going ahead to step 4:
If we divide 193 by 79, we get 2 and a remainder of 35.
Write down 2 as next digit of the result. 
Result so far: 52.0
Subtract 158 from 193 to get 35.
Include the next digit (4) from the dividend after 35, then repeat: 354 / 79

Moving on to step 5:
354 divided by 79 is 4 with a remainder of 38.
The next digit of our result is 4. 
Result so far: 524.0
The remainder is 38 after subtracting 316 from 354.
Append the next digit (3) from the dividend to 38 and continue with: 383 / 79

Advancing to step 6:
When dividing 383 by 79, we get 4 with a remainder of 67.
The number 4 becomes the next digit in our result. 
Result so far: 5244.0
Subtracting 316 from 383 leaves us with 67.
Since there are no more digits in the dividend, we add a zero to the remainder making it 670, and continue the process.

On to step 7:
670 divided by 79 is 8 with a remainder of 38.
Write down 8 as next digit of the result. 
Result so far: 5244.8
The remainder is 38 after subtracting 632 from 670.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Advancing to step 8:
380 divided by 79 is 4 with a remainder of 64.
Record the quotient 4 as the next digit in the result. 
Result so far: 5244.84
If we subtract 316 from 380, we get 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

Advancing to step 9:
640 divided by 79 is 8 with a remainder of 8.
Write down 8 as next digit of the result. 
Result so far: 5244.848
The remainder is 8 after subtracting 632 from 640.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Going ahead to step 10:
The number 79 fits into 80 1 times, leaving a remainder of 1.
Record the quotient 1 as the next digit in the result. 
Result so far: 5244.8481
The remainder is 1 after subtracting 79 from 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Moving on to step 11:
79 can be fit into 10 0 times, resulting in a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 5244.8481
Deduct 0 from 10 and we're left with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

On to step 12:
79 goes into 100 1 times with a remainder of 21.
Use 1 as the next digit of our solution. 
Result so far: 5244.848101
Subtract 79 from 100 to get 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Let's proceed to step 13:
The number 79 fits into 210 2 times, leaving a remainder of 52.
The number 2 becomes the next digit in our result. 
Result so far: 5244.8481012
If we subtract 158 from 210, we get 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Advancing to step 14:
79 can be fit into 520 6 times, resulting in a remainder of 46.
The number 6 becomes the next digit in our result. 
Result so far: 5244.84810126
If we take 474 away from 520, we end up with 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

In conclusion, the division gives 5244.84810126 with a balance of 4.6e-08.