4379 ÷ 1 
We want to figure out the number of times 4379 can be divided by 1.

Going ahead to step 1:
When dividing 4 by 1, we get 4 with a remainder of 0.
The next digit of our result is 4. 
Result so far: 4.0
If we subtract 4 from 4, we get 0.
Include the next digit (3) from the dividend after 0, then repeat: 3 / 1

Step 2:
The number 1 fits into 3 3 times, leaving a remainder of 0.
The number 3 becomes the next digit in our result. 
Result so far: 43.0
Deduct 3 from 3 and we're left with 0.
Fetch the next digit (7) from the dividend, attach it to 0 and continue: 7 / 1

Advancing to step 3:
1 goes into 7 7 times with a remainder of 0.
Use 7 as the next digit of our solution. 
Result so far: 437.0
The remainder is 0 after subtracting 7 from 7.
Fetch the next digit (9) from the dividend, attach it to 0 and continue: 9 / 1

On to step 4:
1 can be fit into 9 9 times, resulting in a remainder of 0.
Put 9 as the next digit of the answer. 
Result so far: 4379.0
Subtract 9 from 9 to get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Let's proceed to step 5:
0 divided by 1 is 0 with a remainder of 0.
The next digit of our result is 0. 
Result so far: 4379.0
If we take 0 away from 0, we end up with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Moving on to step 6:
The number 1 fits into 0 0 times, leaving a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 4379.0
If we subtract 0 from 0, we get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

The final result is 4379.0 with a remainder of 0.0.