71999 ÷ 98 
We're looking to find how many times 98 goes into 71999.

Let's proceed to step 1:
When dividing 7 by 98, we get 0 with a remainder of 7.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 7 after subtracting 0 from 7.
Bring next digit (1) of the dividend behind the 7 and repeat the process: 71 / 98

Advancing to step 2:
71 divided by 98 is 0 with a remainder of 71.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 71, we get 71.
Append the next digit (9) from the dividend to 71 and continue with: 719 / 98

On to step 3:
The number 98 fits into 719 7 times, leaving a remainder of 33.
Use 7 as the next digit of our solution. 
Result so far: 7.0
Subtract 686 from 719 to get 33.
Grab the next digit (9) from the dividend, add it to 33, then carry on: 339 / 98

Let's proceed to step 4:
98 can be fit into 339 3 times, resulting in a remainder of 45.
The number 3 becomes the next digit in our result. 
Result so far: 73.0
If we subtract 294 from 339, we get 45.
Take the next digit (9) from the dividend and append it to 45, then repeat: 459 / 98

Let's proceed to step 5:
98 can be fit into 459 4 times, resulting in a remainder of 67.
The next digit of our result is 4. 
Result so far: 734.0
Subtracting 392 from 459 leaves us with 67.
Since there are no more digits in the dividend, we add a zero to the remainder making it 670, and continue the process.

Going ahead to step 6:
98 can be fit into 670 6 times, resulting in a remainder of 82.
The next digit of our result is 6. 
Result so far: 734.6
Subtract 588 from 670 to get 82.
Since there are no more digits in the dividend, we add a zero to the remainder making it 820, and continue the process.

Advancing to step 7:
98 can be fit into 820 8 times, resulting in a remainder of 36.
The number 8 becomes the next digit in our result. 
Result so far: 734.68
Deduct 784 from 820 and we're left with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Step 8:
The number 98 fits into 360 3 times, leaving a remainder of 66.
Record the quotient 3 as the next digit in the result. 
Result so far: 734.683
If we take 294 away from 360, we end up with 66.
Since there are no more digits in the dividend, we add a zero to the remainder making it 660, and continue the process.

Step 9:
660 divided by 98 is 6 with a remainder of 72.
Put 6 as the next digit of the answer. 
Result so far: 734.6836
The remainder is 72 after subtracting 588 from 660.
Since there are no more digits in the dividend, we add a zero to the remainder making it 720, and continue the process.

Let's proceed to step 10:
When dividing 720 by 98, we get 7 with a remainder of 34.
Write down 7 as next digit of the result. 
Result so far: 734.68367
Subtracting 686 from 720 leaves us with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Step 11:
98 goes into 340 3 times with a remainder of 46.
Use 3 as the next digit of our solution. 
Result so far: 734.683673
The remainder is 46 after subtracting 294 from 340.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

Advancing to step 12:
98 can be fit into 460 4 times, resulting in a remainder of 68.
The number 4 becomes the next digit in our result. 
Result so far: 734.6836734
Subtracting 392 from 460 leaves us with 68.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

Moving on to step 13:
When dividing 680 by 98, we get 6 with a remainder of 92.
Record the quotient 6 as the next digit in the result. 
Result so far: 734.68367346
The remainder is 92 after subtracting 588 from 680.
Since there are no more digits in the dividend, we add a zero to the remainder making it 920, and continue the process.

Our division results in 734.68367346 with a remaining 9.2e-08.