Let's divide 379464 by 84
Our goal is to divide 379464 by 84.

Advancing to step 1:
84 can be fit into 3 0 times, resulting in 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.
Fetch the next digit (7) from the dividend, attach it to 3 and continue: 37 / 84

Moving on to step 2:
If we divide 37 by 84, we get 0 and a remainder of 37.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 37, we get 37.
Take the next digit (9) from the dividend and append it to 37, then repeat: 379 / 84

Advancing to step 3:
84 can be fit into 379 4 times, resulting in a remainder of 43.
Put 4 as the next digit of the answer. 
Result so far: 4.0
If we take 336 away from 379, we end up with 43.
Fetch the next digit (4) from the dividend, attach it to 43 and continue: 434 / 84

On to step 4:
If we divide 434 by 84, we get 5 and a remainder of 14.
Put 5 as the next digit of the answer. 
Result so far: 45.0
Subtract 420 from 434 to get 14.
Include the next digit (6) from the dividend after 14, then repeat: 146 / 84

Advancing to step 5:
When dividing 146 by 84, we get 1 with a remainder of 62.
Write down 1 as next digit of the result. 
Result so far: 451.0
Subtract 84 from 146 to get 62.
Take the next digit (4) from the dividend and append it to 62, then repeat: 624 / 84

Moving on to step 6:
84 can be fit into 624 7 times, resulting in a remainder of 36.
The number 7 becomes the next digit in our result. 
Result so far: 4517.0
The remainder is 36 after subtracting 588 from 624.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

On to step 7:
84 goes into 360 4 times with a remainder of 24.
Write down 4 as next digit of the result. 
Result so far: 4517.4
The remainder is 24 after subtracting 336 from 360.
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 84 is 2 with a remainder of 72.
The next digit of our result is 2. 
Result so far: 4517.42
If we take 168 away from 240, we end up 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.

Step 9:
If we divide 720 by 84, we get 8 and a remainder of 48.
Record the quotient 8 as the next digit in the result. 
Result so far: 4517.428
Subtracting 672 from 720 leaves us with 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Going ahead to step 10:
480 divided by 84 is 5 with a remainder of 60.
Record the quotient 5 as the next digit in the result. 
Result so far: 4517.4285
Subtracting 420 from 480 leaves us with 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Moving on to step 11:
84 goes into 600 7 times with a remainder of 12.
Put 7 as the next digit of the answer. 
Result so far: 4517.42857
If we subtract 588 from 600, we get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Advancing to step 12:
When dividing 120 by 84, we get 1 with a remainder of 36.
Write down 1 as next digit of the result. 
Result so far: 4517.428571
Subtract 84 from 120 to get 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Let's proceed to step 13:
When dividing 360 by 84, we get 4 with a remainder of 24.
Use 4 as the next digit of our solution. 
Result so far: 4517.4285714
The remainder is 24 after subtracting 336 from 360.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Advancing to step 14:
When dividing 240 by 84, we get 2 with a remainder of 72.
Put 2 as the next digit of the answer. 
Result so far: 4517.42857142
Subtract 168 from 240 to get 72.
Since there are no more digits in the dividend, we add a zero to the remainder making it 720, and continue the process.

In conclusion, the division gives 4517.42857142 with a balance of 7.2e-08.