We're dividing 355376 by 79 
Our goal is to divide 355376 by 79.

Step 1:
When dividing 3 by 79, we get 0 with a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 3, we end up with 3.
Include the next digit (5) from the dividend after 3, then repeat: 35 / 79

Step 2:
79 goes into 35 0 times with a remainder of 35.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 35 and we're left with 35.
Bring next digit (5) of the dividend behind the 35 and repeat the process: 355 / 79

Going ahead to step 3:
When dividing 355 by 79, we get 4 with a remainder of 39.
The number 4 becomes the next digit in our result. 
Result so far: 4.0
The remainder is 39 after subtracting 316 from 355.
Fetch the next digit (3) from the dividend, attach it to 39 and continue: 393 / 79

Step 4:
The number 79 fits into 393 4 times, leaving a remainder of 77.
Use 4 as the next digit of our solution. 
Result so far: 44.0
Deduct 316 from 393 and we're left with 77.
Include the next digit (7) from the dividend after 77, then repeat: 777 / 79

Let's proceed to step 5:
The number 79 fits into 777 9 times, leaving a remainder of 66.
Use 9 as the next digit of our solution. 
Result so far: 449.0
The remainder is 66 after subtracting 711 from 777.
Grab the next digit (6) from the dividend, add it to 66, then carry on: 666 / 79

On to step 6:
The number 79 fits into 666 8 times, leaving a remainder of 34.
The number 8 becomes the next digit in our result. 
Result so far: 4498.0
Subtracting 632 from 666 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.

Moving on to step 7:
79 can be fit into 340 4 times, resulting in a remainder of 24.
The next digit of our result is 4. 
Result so far: 4498.4
If we subtract 316 from 340, we get 24.
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 8:
240 divided by 79 is 3 with a remainder of 3.
Put 3 as the next digit of the answer. 
Result so far: 4498.43
If we subtract 237 from 240, we 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 9:
79 can be fit into 30 0 times, resulting in a remainder of 30.
The number 0 becomes the next digit in our result. 
Result so far: 4498.43
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.

Let's proceed to step 10:
300 divided by 79 is 3 with a remainder of 63.
Put 3 as the next digit of the answer. 
Result so far: 4498.4303
Deduct 237 from 300 and we're left with 63.
Since there are no more digits in the dividend, we add a zero to the remainder making it 630, and continue the process.

Moving on to step 11:
If we divide 630 by 79, we get 7 and a remainder of 77.
The next digit of our result is 7. 
Result so far: 4498.43037
The remainder is 77 after subtracting 553 from 630.
Since there are no more digits in the dividend, we add a zero to the remainder making it 770, and continue the process.

Going ahead to step 12:
79 goes into 770 9 times with a remainder of 59.
Record the quotient 9 as the next digit in the result. 
Result so far: 4498.430379
Subtracting 711 from 770 leaves us with 59.
Since there are no more digits in the dividend, we add a zero to the remainder making it 590, and continue the process.

Advancing to step 13:
When dividing 590 by 79, we get 7 with a remainder of 37.
The number 7 becomes the next digit in our result. 
Result so far: 4498.4303797
The remainder is 37 after subtracting 553 from 590.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

Step 14:
79 goes into 370 4 times with a remainder of 54.
The number 4 becomes the next digit in our result. 
Result so far: 4498.43037974
The remainder is 54 after subtracting 316 from 370.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

In conclusion, the division gives 4498.43037974 with a balance of 5.4e-08.