10982 ÷ 77 
Our goal is to divide 10982 by 77.

On to step 1:
77 goes into 1 0 times with a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Include the next digit (0) from the dividend after 1, then repeat: 10 / 77

Let's proceed to step 2:
When dividing 10 by 77, we get 0 with a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 10, we end up with 10.
Bring next digit (9) of the dividend behind the 10 and repeat the process: 109 / 77

Going ahead to step 3:
The number 77 fits into 109 1 times, leaving a remainder of 32.
Write down 1 as next digit of the result. 
Result so far: 1.0
The remainder is 32 after subtracting 77 from 109.
Bring next digit (8) of the dividend behind the 32 and repeat the process: 328 / 77

Moving on to step 4:
77 can be fit into 328 4 times, resulting in a remainder of 20.
Write down 4 as next digit of the result. 
Result so far: 14.0
If we take 308 away from 328, we end up with 20.
Include the next digit (2) from the dividend after 20, then repeat: 202 / 77

Let's proceed to step 5:
When dividing 202 by 77, we get 2 with a remainder of 48.
Write down 2 as next digit of the result. 
Result so far: 142.0
The remainder is 48 after subtracting 154 from 202.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Let's proceed to step 6:
77 can be fit into 480 6 times, resulting in a remainder of 18.
The number 6 becomes the next digit in our result. 
Result so far: 142.6
If we subtract 462 from 480, we get 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Going ahead to step 7:
180 divided by 77 is 2 with a remainder of 26.
Use 2 as the next digit of our solution. 
Result so far: 142.62
The remainder is 26 after subtracting 154 from 180.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Let's proceed to step 8:
When dividing 260 by 77, we get 3 with a remainder of 29.
The number 3 becomes the next digit in our result. 
Result so far: 142.623
The remainder is 29 after subtracting 231 from 260.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Moving on to step 9:
77 goes into 290 3 times with a remainder of 59.
The number 3 becomes the next digit in our result. 
Result so far: 142.6233
Deduct 231 from 290 and we're left with 59.
Since there are no more digits in the dividend, we add a zero to the remainder making it 590, and continue the process.

In conclusion, the division gives 142.6233 with a balance of 0.00059.