We're dividing 84179 by 42 
We want to figure out the number of times 84179 can be divided by 42.

Step 1:
8 divided by 42 is 0 with a remainder of 8.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 8, we end up with 8.
Fetch the next digit (4) from the dividend, attach it to 8 and continue: 84 / 42

Going ahead to step 2:
42 goes into 84 2 times with a remainder of 0.
Record the quotient 2 as the next digit in the result. 
Result so far: 2.0
Subtract 84 from 84 to get 0.
Append the next digit (1) from the dividend to 0 and continue with: 1 / 42

Advancing to step 3:
42 can be fit into 1 0 times, resulting in a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 20.0
Subtract 0 from 1 to get 1.
Take the next digit (7) from the dividend and append it to 1, then repeat: 17 / 42

Advancing to step 4:
42 goes into 17 0 times with a remainder of 17.
Use 0 as the next digit of our solution. 
Result so far: 200.0
If we take 0 away from 17, we end up with 17.
Take the next digit (9) from the dividend and append it to 17, then repeat: 179 / 42

Advancing to step 5:
179 divided by 42 is 4 with a remainder of 11.
Write down 4 as next digit of the result. 
Result so far: 2004.0
If we subtract 168 from 179, we get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

On to step 6:
42 goes into 110 2 times with a remainder of 26.
Record the quotient 2 as the next digit in the result. 
Result so far: 2004.2
Subtracting 84 from 110 leaves us with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

On to step 7:
260 divided by 42 is 6 with a remainder of 8.
Record the quotient 6 as the next digit in the result. 
Result so far: 2004.26
The remainder is 8 after subtracting 252 from 260.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Let's proceed to step 8:
80 divided by 42 is 1 with a remainder of 38.
Put 1 as the next digit of the answer. 
Result so far: 2004.261
Subtracting 42 from 80 leaves us with 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Moving on to step 9:
42 can be fit into 380 9 times, resulting in a remainder of 2.
Record the quotient 9 as the next digit in the result. 
Result so far: 2004.2619
If we take 378 away from 380, we end up with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Advancing to step 10:
42 goes into 20 0 times with a remainder of 20.
Record the quotient 0 as the next digit in the result. 
Result so far: 2004.2619
Subtract 0 from 20 to get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Going ahead to step 11:
200 divided by 42 is 4 with a remainder of 32.
The number 4 becomes the next digit in our result. 
Result so far: 2004.261904
Deduct 168 from 200 and we're left with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Advancing to step 12:
320 divided by 42 is 7 with a remainder of 26.
Record the quotient 7 as the next digit in the result. 
Result so far: 2004.2619047
Subtracting 294 from 320 leaves us with 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 13:
260 divided by 42 is 6 with a remainder of 8.
Write down 6 as next digit of the result. 
Result so far: 2004.26190476
If we subtract 252 from 260, we get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

The quotient of the division is 2004.26190476, and the remainder is 8e-09.