17829 ÷ 49 
We want to figure out the number of times 17829 can be divided by 49.

On to step 1:
The number 49 fits into 1 0 times, leaving a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Fetch the next digit (7) from the dividend, attach it to 1 and continue: 17 / 49

Step 2:
If we divide 17 by 49, we get 0 and a remainder of 17.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 17, we get 17.
Include the next digit (8) from the dividend after 17, then repeat: 178 / 49

Step 3:
When dividing 178 by 49, we get 3 with a remainder of 31.
Record the quotient 3 as the next digit in the result. 
Result so far: 3.0
The remainder is 31 after subtracting 147 from 178.
Bring next digit (2) of the dividend behind the 31 and repeat the process: 312 / 49

Step 4:
When dividing 312 by 49, we get 6 with a remainder of 18.
The next digit of our result is 6. 
Result so far: 36.0
Deduct 294 from 312 and we're left with 18.
Include the next digit (9) from the dividend after 18, then repeat: 189 / 49

On to step 5:
49 goes into 189 3 times with a remainder of 42.
Use 3 as the next digit of our solution. 
Result so far: 363.0
Subtracting 147 from 189 leaves us with 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Advancing to step 6:
If we divide 420 by 49, we get 8 and a remainder of 28.
The number 8 becomes the next digit in our result. 
Result so far: 363.8
Subtract 392 from 420 to 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.

On to step 7:
If we divide 280 by 49, we get 5 and a remainder of 35.
Use 5 as the next digit of our solution. 
Result so far: 363.85
Subtracting 245 from 280 leaves us with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Moving on to step 8:
If we divide 350 by 49, we get 7 and a remainder of 7.
Write down 7 as next digit of the result. 
Result so far: 363.857
The remainder is 7 after subtracting 343 from 350.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Let's proceed to step 9:
49 goes into 70 1 times with a remainder of 21.
Put 1 as the next digit of the answer. 
Result so far: 363.8571
Subtract 49 from 70 to get 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Step 10:
210 divided by 49 is 4 with a remainder of 14.
Use 4 as the next digit of our solution. 
Result so far: 363.85714
Subtracting 196 from 210 leaves us with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Advancing to step 11:
The number 49 fits into 140 2 times, leaving a remainder of 42.
The next digit of our result is 2. 
Result so far: 363.857142
The remainder is 42 after subtracting 98 from 140.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Moving on to step 12:
When dividing 420 by 49, we get 8 with a remainder of 28.
Write down 8 as next digit of the result. 
Result so far: 363.8571428
If we take 392 away from 420, 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 13:
When dividing 280 by 49, we get 5 with a remainder of 35.
The next digit of our result is 5. 
Result so far: 363.85714285
Deduct 245 from 280 and we're left with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

In conclusion, the division gives 363.85714285 with a balance of 3.5e-08.