We look at the division of 338960 by 84 
We want to divide 338960 by 84.

On to step 1:
84 goes into 3 0 times with a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 3 to get 3.
Fetch the next digit (3) from the dividend, attach it to 3 and continue: 33 / 84

On to step 2:
33 divided by 84 is 0 with a remainder of 33.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 33, we end up with 33.
Bring next digit (8) of the dividend behind the 33 and repeat the process: 338 / 84

Going ahead to step 3:
When dividing 338 by 84, we get 4 with a remainder of 2.
Use 4 as the next digit of our solution. 
Result so far: 4.0
Subtract 336 from 338 to get 2.
Append the next digit (9) from the dividend to 2 and continue with: 29 / 84

Going ahead to step 4:
29 divided by 84 is 0 with a remainder of 29.
The number 0 becomes the next digit in our result. 
Result so far: 40.0
Subtracting 0 from 29 leaves us with 29.
Fetch the next digit (6) from the dividend, attach it to 29 and continue: 296 / 84

On to step 5:
84 can be fit into 296 3 times, resulting in a remainder of 44.
Record the quotient 3 as the next digit in the result. 
Result so far: 403.0
Subtracting 252 from 296 leaves us with 44.
Take the next digit (0) from the dividend and append it to 44, then repeat: 440 / 84

Moving on to step 6:
If we divide 440 by 84, we get 5 and a remainder of 20.
Write down 5 as next digit of the result. 
Result so far: 4035.0
If we take 420 away from 440, we end up with 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 7:
84 goes into 200 2 times with a remainder of 32.
Put 2 as the next digit of the answer. 
Result so far: 4035.2
If we take 168 away from 200, we end up 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.

On to step 8:
When dividing 320 by 84, we get 3 with a remainder of 68.
The number 3 becomes the next digit in our result. 
Result so far: 4035.23
Subtract 252 from 320 to get 68.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

On to step 9:
If we divide 680 by 84, we get 8 and a remainder of 8.
Record the quotient 8 as the next digit in the result. 
Result so far: 4035.238
If we take 672 away from 680, we end up with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

On to step 10:
84 can be fit into 80 0 times, resulting in a remainder of 80.
The number 0 becomes the next digit in our result. 
Result so far: 4035.238
If we take 0 away from 80, we end up with 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 800, and continue the process.

Let's proceed to step 11:
800 divided by 84 is 9 with a remainder of 44.
Record the quotient 9 as the next digit in the result. 
Result so far: 4035.23809
Subtracting 756 from 800 leaves us with 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Let's proceed to step 12:
The number 84 fits into 440 5 times, leaving a remainder of 20.
The number 5 becomes the next digit in our result. 
Result so far: 4035.238095
The remainder is 20 after subtracting 420 from 440.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Advancing to step 13:
84 goes into 200 2 times with a remainder of 32.
Record the quotient 2 as the next digit in the result. 
Result so far: 4035.2380952
If we take 168 away from 200, we end up 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.

Moving on to step 14:
84 can be fit into 320 3 times, resulting in a remainder of 68.
Write down 3 as next digit of the result. 
Result so far: 4035.23809523
Deduct 252 from 320 and we're left with 68.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

In conclusion, the division gives 4035.23809523 with a balance of 6.8e-08.