4385 ÷ 79 
We want to figure out the number of times 4385 can be divided by 79.

Going ahead to step 1:
If we divide 4 by 79, we get 0 and a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 4 and we're left with 4.
Append the next digit (3) from the dividend to 4 and continue with: 43 / 79

Step 2:
79 goes into 43 0 times with a remainder of 43.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 43 and we're left with 43.
Include the next digit (8) from the dividend after 43, then repeat: 438 / 79

Moving on to step 3:
If we divide 438 by 79, we get 5 and a remainder of 43.
The number 5 becomes the next digit in our result. 
Result so far: 5.0
The remainder is 43 after subtracting 395 from 438.
Include the next digit (5) from the dividend after 43, then repeat: 435 / 79

Moving on to step 4:
If we divide 435 by 79, we get 5 and a remainder of 40.
The next digit of our result is 5. 
Result so far: 55.0
Subtracting 395 from 435 leaves us with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Moving on to step 5:
If we divide 400 by 79, we get 5 and a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 55.5
Subtracting 395 from 400 leaves us with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

On to step 6:
When dividing 50 by 79, we get 0 with a remainder of 50.
Write down 0 as next digit of the result. 
Result so far: 55.5
If we subtract 0 from 50, we get 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Advancing to step 7:
79 can be fit into 500 6 times, resulting in a remainder of 26.
Record the quotient 6 as the next digit in the result. 
Result so far: 55.506
If we subtract 474 from 500, we 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:
260 divided by 79 is 3 with a remainder of 23.
The number 3 becomes the next digit in our result. 
Result so far: 55.5063
If we take 237 away from 260, 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 9:
79 goes into 230 2 times with a remainder of 72.
Use 2 as the next digit of our solution. 
Result so far: 55.50632
Deduct 158 from 230 and we're left with 72.
Since there are no more digits in the dividend, we add a zero to the remainder making it 720, and continue the process.

Advancing to step 10:
79 can be fit into 720 9 times, resulting in a remainder of 9.
The number 9 becomes the next digit in our result. 
Result so far: 55.506329
Subtracting 711 from 720 leaves us with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Let's proceed to step 11:
When dividing 90 by 79, we get 1 with a remainder of 11.
The next digit of our result is 1. 
Result so far: 55.5063291
The remainder is 11 after subtracting 79 from 90.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Let's proceed to step 12:
If we divide 110 by 79, we get 1 and a remainder of 31.
Use 1 as the next digit of our solution. 
Result so far: 55.50632911
The remainder is 31 after subtracting 79 from 110.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

The quotient of the division is 55.50632911, and the remainder is 3.1e-08.