We look at the division of 25111 by 84 
We want to figure out the number of times 25111 can be divided by 84.

Going ahead to step 1:
84 can be fit into 2 0 times, resulting in a remainder of 2.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 2 and we're left with 2.
Take the next digit (5) from the dividend and append it to 2, then repeat: 25 / 84

Going ahead to step 2:
25 divided by 84 is 0 with a remainder of 25.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 25 and we're left with 25.
Include the next digit (1) from the dividend after 25, then repeat: 251 / 84

Let's proceed to step 3:
84 can be fit into 251 2 times, resulting in a remainder of 83.
Use 2 as the next digit of our solution. 
Result so far: 2.0
Subtracting 168 from 251 leaves us with 83.
Include the next digit (1) from the dividend after 83, then repeat: 831 / 84

Let's proceed to step 4:
84 goes into 831 9 times with a remainder of 75.
The next digit of our result is 9. 
Result so far: 29.0
Deduct 756 from 831 and we're left with 75.
Append the next digit (1) from the dividend to 75 and continue with: 751 / 84

On to step 5:
751 divided by 84 is 8 with a remainder of 79.
The number 8 becomes the next digit in our result. 
Result so far: 298.0
If we subtract 672 from 751, we get 79.
Since there are no more digits in the dividend, we add a zero to the remainder making it 790, and continue the process.

Step 6:
790 divided by 84 is 9 with a remainder of 34.
Record the quotient 9 as the next digit in the result. 
Result so far: 298.9
If we subtract 756 from 790, we get 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Going ahead to step 7:
If we divide 340 by 84, we get 4 and a remainder of 4.
Use 4 as the next digit of our solution. 
Result so far: 298.94
The remainder is 4 after subtracting 336 from 340.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Advancing to step 8:
84 can be fit into 40 0 times, resulting in a remainder of 40.
The number 0 becomes the next digit in our result. 
Result so far: 298.94
Subtracting 0 from 40 leaves us with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Step 9:
When dividing 400 by 84, we get 4 with a remainder of 64.
The number 4 becomes the next digit in our result. 
Result so far: 298.9404
If we subtract 336 from 400, we get 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

On to step 10:
When dividing 640 by 84, we get 7 with a remainder of 52.
Write down 7 as next digit of the result. 
Result so far: 298.94047
If we take 588 away from 640, we end up with 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

On to step 11:
The number 84 fits into 520 6 times, leaving a remainder of 16.
The number 6 becomes the next digit in our result. 
Result so far: 298.940476
Subtract 504 from 520 to get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Moving on to step 12:
160 divided by 84 is 1 with a remainder of 76.
The number 1 becomes the next digit in our result. 
Result so far: 298.9404761
If we subtract 84 from 160, we get 76.
Since there are no more digits in the dividend, we add a zero to the remainder making it 760, and continue the process.

Advancing to step 13:
760 divided by 84 is 9 with a remainder of 4.
Use 9 as the next digit of our solution. 
Result so far: 298.94047619
Subtracting 756 from 760 leaves us with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

In conclusion, the division gives 298.94047619 with a balance of 4e-09.