25834 divided by 84 
Our goal is to divide 25834 by 84.

Moving on to step 1:
2 divided by 84 is 0 with a remainder of 2.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 2 leaves us with 2.
Include the next digit (5) from the dividend after 2, then repeat: 25 / 84

Advancing to step 2:
The number 84 fits into 25 0 times, leaving a remainder of 25.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 25 and we're left with 25.
Take the next digit (8) from the dividend and append it to 25, then repeat: 258 / 84

Step 3:
When dividing 258 by 84, we get 3 with a remainder of 6.
The number 3 becomes the next digit in our result. 
Result so far: 3.0
If we subtract 252 from 258, we get 6.
Take the next digit (3) from the dividend and append it to 6, then repeat: 63 / 84

Let's proceed to step 4:
If we divide 63 by 84, we get 0 and a remainder of 63.
Record the quotient 0 as the next digit in the result. 
Result so far: 30.0
If we subtract 0 from 63, we get 63.
Grab the next digit (4) from the dividend, add it to 63, then carry on: 634 / 84

Let's proceed to step 5:
If we divide 634 by 84, we get 7 and a remainder of 46.
Record the quotient 7 as the next digit in the result. 
Result so far: 307.0
Deduct 588 from 634 and we're left with 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

Moving on to step 6:
When dividing 460 by 84, we get 5 with a remainder of 40.
The next digit of our result is 5. 
Result so far: 307.5
Subtract 420 from 460 to get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

On to step 7:
400 divided by 84 is 4 with a remainder of 64.
Use 4 as the next digit of our solution. 
Result so far: 307.54
Subtracting 336 from 400 leaves us with 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

Let's proceed to step 8:
The number 84 fits into 640 7 times, leaving a remainder of 52.
Record the quotient 7 as the next digit in the result. 
Result so far: 307.547
The remainder is 52 after subtracting 588 from 640.
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 9:
84 can be fit into 520 6 times, resulting in a remainder of 16.
The number 6 becomes the next digit in our result. 
Result so far: 307.5476
If we subtract 504 from 520, we 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.

On to step 10:
If we divide 160 by 84, we get 1 and a remainder of 76.
Use 1 as the next digit of our solution. 
Result so far: 307.54761
Subtract 84 from 160 to 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.

Step 11:
If we divide 760 by 84, we get 9 and a remainder of 4.
The next digit of our result is 9. 
Result so far: 307.547619
Subtract 756 from 760 to get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Moving on to step 12:
When dividing 40 by 84, we get 0 with a remainder of 40.
Put 0 as the next digit of the answer. 
Result so far: 307.547619
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.

Going ahead to step 13:
84 can be fit into 400 4 times, resulting in a remainder of 64.
Record the quotient 4 as the next digit in the result. 
Result so far: 307.54761904
Deduct 336 from 400 and we're left with 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

After the division, we end up with 307.54761904 and a remainder of 6.4e-08.