Let's divide 260953 by 84
We're looking to find how many times 84 goes into 260953.

Going ahead to step 1:
The number 84 fits into 2 0 times, leaving a remainder of 2.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 2, we get 2.
Append the next digit (6) from the dividend to 2 and continue with: 26 / 84

Going ahead to step 2:
The number 84 fits into 26 0 times, leaving a remainder of 26.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 26, we end up with 26.
Take the next digit (0) from the dividend and append it to 26, then repeat: 260 / 84

Moving on to step 3:
84 can be fit into 260 3 times, resulting in a remainder of 8.
The next digit of our result is 3. 
Result so far: 3.0
Subtract 252 from 260 to get 8.
Append the next digit (9) from the dividend to 8 and continue with: 89 / 84

Step 4:
89 divided by 84 is 1 with a remainder of 5.
Put 1 as the next digit of the answer. 
Result so far: 31.0
Subtract 84 from 89 to get 5.
Fetch the next digit (5) from the dividend, attach it to 5 and continue: 55 / 84

Let's proceed to step 5:
84 can be fit into 55 0 times, resulting in a remainder of 55.
The number 0 becomes the next digit in our result. 
Result so far: 310.0
The remainder is 55 after subtracting 0 from 55.
Append the next digit (3) from the dividend to 55 and continue with: 553 / 84

Let's proceed to step 6:
When dividing 553 by 84, we get 6 with a remainder of 49.
Use 6 as the next digit of our solution. 
Result so far: 3106.0
Deduct 504 from 553 and we're left with 49.
Since there are no more digits in the dividend, we add a zero to the remainder making it 490, and continue the process.

Moving on to step 7:
If we divide 490 by 84, we get 5 and a remainder of 70.
Write down 5 as next digit of the result. 
Result so far: 3106.5
The remainder is 70 after subtracting 420 from 490.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

Let's proceed to step 8:
When dividing 700 by 84, we get 8 with a remainder of 28.
The number 8 becomes the next digit in our result. 
Result so far: 3106.58
If we take 672 away from 700, we end up with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Going ahead to step 9:
The number 84 fits into 280 3 times, leaving a remainder of 28.
Use 3 as the next digit of our solution. 
Result so far: 3106.583
If we subtract 252 from 280, we get 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Let's proceed to step 10:
If we divide 280 by 84, we get 3 and a remainder of 28.
Use 3 as the next digit of our solution. 
Result so far: 3106.5833
If we subtract 252 from 280, we get 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

In conclusion, the division gives 3106.5833 with a balance of 0.00028.