We look at the division of 98219749 by 971 
We want to figure out the number of times 98219749 can be divided by 971.

Advancing to step 1:
The number 971 fits into 9 0 times, leaving a remainder of 9.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 9, we end up with 9.
Include the next digit (8) from the dividend after 9, then repeat: 98 / 971

Going ahead to step 2:
If we divide 98 by 971, we get 0 and a remainder of 98.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 98 and we're left with 98.
Append the next digit (2) from the dividend to 98 and continue with: 982 / 971

Moving on to step 3:
When dividing 982 by 971, we get 1 with a remainder of 11.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
If we subtract 971 from 982, we get 11.
Append the next digit (1) from the dividend to 11 and continue with: 111 / 971

Going ahead to step 4:
If we divide 111 by 971, we get 0 and a remainder of 111.
Record the quotient 0 as the next digit in the result. 
Result so far: 10.0
Subtract 0 from 111 to get 111.
Append the next digit (9) from the dividend to 111 and continue with: 1119 / 971

Let's proceed to step 5:
The number 971 fits into 1119 1 times, leaving a remainder of 148.
Use 1 as the next digit of our solution. 
Result so far: 101.0
Subtract 971 from 1119 to get 148.
Include the next digit (7) from the dividend after 148, then repeat: 1487 / 971

Step 6:
971 can be fit into 1487 1 times, resulting in a remainder of 516.
Write down 1 as next digit of the result. 
Result so far: 1011.0
The remainder is 516 after subtracting 971 from 1487.
Take the next digit (4) from the dividend and append it to 516, then repeat: 5164 / 971

Going ahead to step 7:
The number 971 fits into 5164 5 times, leaving a remainder of 309.
Record the quotient 5 as the next digit in the result. 
Result so far: 10115.0
Deduct 4855 from 5164 and we're left with 309.
Bring next digit (9) of the dividend behind the 309 and repeat the process: 3099 / 971

Advancing to step 8:
If we divide 3099 by 971, we get 3 and a remainder of 186.
Record the quotient 3 as the next digit in the result. 
Result so far: 101153.0
Deduct 2913 from 3099 and we're left with 186.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1860, and continue the process.

Let's proceed to step 9:
The number 971 fits into 1860 1 times, leaving a remainder of 889.
Write down 1 as next digit of the result. 
Result so far: 101153.1
The remainder is 889 after subtracting 971 from 1860.
Since there are no more digits in the dividend, we add a zero to the remainder making it 8890, and continue the process.

Step 10:
971 can be fit into 8890 9 times, resulting in a remainder of 151.
The next digit of our result is 9. 
Result so far: 101153.19
Deduct 8739 from 8890 and we're left with 151.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1510, and continue the process.

On to step 11:
971 can be fit into 1510 1 times, resulting in a remainder of 539.
Write down 1 as next digit of the result. 
Result so far: 101153.191
If we take 971 away from 1510, we end up with 539.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5390, and continue the process.

Going ahead to step 12:
971 goes into 5390 5 times with a remainder of 535.
Put 5 as the next digit of the answer. 
Result so far: 101153.1915
Subtract 4855 from 5390 to get 535.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5350, and continue the process.

Going ahead to step 13:
When dividing 5350 by 971, we get 5 with a remainder of 495.
The next digit of our result is 5. 
Result so far: 101153.19155
If we take 4855 away from 5350, we end up with 495.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4950, and continue the process.

After the division, we end up with 101153.19155 and a remainder of 0.000495.