71829 ÷ 90 
We want to divide 71829 by 90.

Let's proceed to step 1:
The number 90 fits into 7 0 times, leaving a remainder of 7.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 7, we end up with 7.
Append the next digit (1) from the dividend to 7 and continue with: 71 / 90

Going ahead to step 2:
90 can be fit into 71 0 times, resulting in a remainder of 71.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 71 leaves us with 71.
Grab the next digit (8) from the dividend, add it to 71, then carry on: 718 / 90

Let's proceed to step 3:
90 goes into 718 7 times with a remainder of 88.
Use 7 as the next digit of our solution. 
Result so far: 7.0
Deduct 630 from 718 and we're left with 88.
Grab the next digit (2) from the dividend, add it to 88, then carry on: 882 / 90

Going ahead to step 4:
When dividing 882 by 90, we get 9 with a remainder of 72.
Write down 9 as next digit of the result. 
Result so far: 79.0
Subtracting 810 from 882 leaves us with 72.
Fetch the next digit (9) from the dividend, attach it to 72 and continue: 729 / 90

Advancing to step 5:
The number 90 fits into 729 8 times, leaving a remainder of 9.
Put 8 as the next digit of the answer. 
Result so far: 798.0
If we take 720 away from 729, we end up with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Going ahead to step 6:
90 divided by 90 is 1 with a remainder of 0.
The number 1 becomes the next digit in our result. 
Result so far: 798.1
If we take 90 away from 90, we end up with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Advancing to step 7:
90 goes into 0 0 times with a remainder of 0.
The next digit of our result is 0. 
Result so far: 798.1
If we subtract 0 from 0, we get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

On to step 8:
90 can be fit into 0 0 times, resulting in a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 798.1
The remainder is 0 after subtracting 0 from 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

The final result is 798.1 with a remainder of 0.0.