34140 ÷ 84 
Our goal is to divide 34140 by 84.

Advancing to step 1:
84 goes into 3 0 times with a remainder of 3.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 3 to get 3.
Take the next digit (4) from the dividend and append it to 3, then repeat: 34 / 84

Let's proceed to step 2:
If we divide 34 by 84, we get 0 and a remainder of 34.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 34 leaves us with 34.
Fetch the next digit (1) from the dividend, attach it to 34 and continue: 341 / 84

Moving on to step 3:
When dividing 341 by 84, we get 4 with a remainder of 5.
Put 4 as the next digit of the answer. 
Result so far: 4.0
If we subtract 336 from 341, we get 5.
Append the next digit (4) from the dividend to 5 and continue with: 54 / 84

Moving on to step 4:
If we divide 54 by 84, we get 0 and a remainder of 54.
Use 0 as the next digit of our solution. 
Result so far: 40.0
Deduct 0 from 54 and we're left with 54.
Append the next digit (0) from the dividend to 54 and continue with: 540 / 84

Advancing to step 5:
540 divided by 84 is 6 with a remainder of 36.
The next digit of our result is 6. 
Result so far: 406.0
If we subtract 504 from 540, we 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.

Advancing to step 6:
360 divided by 84 is 4 with a remainder of 24.
Put 4 as the next digit of the answer. 
Result so far: 406.4
Deduct 336 from 360 and we're left with 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 7:
84 can be fit into 240 2 times, resulting in a remainder of 72.
The number 2 becomes the next digit in our result. 
Result so far: 406.42
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.

Let's proceed to step 8:
When dividing 720 by 84, we get 8 with a remainder of 48.
The next digit of our result is 8. 
Result so far: 406.428
The remainder is 48 after subtracting 672 from 720.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Step 9:
If we divide 480 by 84, we get 5 and a remainder of 60.
The number 5 becomes the next digit in our result. 
Result so far: 406.4285
The remainder is 60 after subtracting 420 from 480.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Let's proceed to step 10:
When dividing 600 by 84, we get 7 with a remainder of 12.
The next digit of our result is 7. 
Result so far: 406.42857
Subtracting 588 from 600 leaves us with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Moving on to step 11:
84 can be fit into 120 1 times, resulting in a remainder of 36.
Record the quotient 1 as the next digit in the result. 
Result so far: 406.428571
The remainder is 36 after subtracting 84 from 120.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Moving on to step 12:
360 divided by 84 is 4 with a remainder of 24.
The next digit of our result is 4. 
Result so far: 406.4285714
If we take 336 away from 360, we end up with 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 13:
84 can be fit into 240 2 times, resulting in a remainder of 72.
The next digit of our result is 2. 
Result so far: 406.42857142
If we subtract 168 from 240, we 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.

The final outcome is 406.42857142, with a leftover of 7.2e-08.