We look at the division of 97638661 by 742 
We want to divide 97638661 by 742.

Going ahead to step 1:
When dividing 9 by 742, we get 0 with a remainder of 9.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 9, we end up with 9.
Grab the next digit (7) from the dividend, add it to 9, then carry on: 97 / 742

Going ahead to step 2:
742 goes into 97 0 times with a remainder of 97.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 97, we end up with 97.
Include the next digit (6) from the dividend after 97, then repeat: 976 / 742

Let's proceed to step 3:
742 goes into 976 1 times with a remainder of 234.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Subtracting 742 from 976 leaves us with 234.
Bring next digit (3) of the dividend behind the 234 and repeat the process: 2343 / 742

Let's proceed to step 4:
When dividing 2343 by 742, we get 3 with a remainder of 117.
The next digit of our result is 3. 
Result so far: 13.0
Subtract 2226 from 2343 to get 117.
Append the next digit (8) from the dividend to 117 and continue with: 1178 / 742

Advancing to step 5:
If we divide 1178 by 742, we get 1 and a remainder of 436.
The next digit of our result is 1. 
Result so far: 131.0
If we subtract 742 from 1178, we get 436.
Fetch the next digit (6) from the dividend, attach it to 436 and continue: 4366 / 742

Going ahead to step 6:
If we divide 4366 by 742, we get 5 and a remainder of 656.
The number 5 becomes the next digit in our result. 
Result so far: 1315.0
If we subtract 3710 from 4366, we get 656.
Take the next digit (6) from the dividend and append it to 656, then repeat: 6566 / 742

Step 7:
6566 divided by 742 is 8 with a remainder of 630.
Use 8 as the next digit of our solution. 
Result so far: 13158.0
If we take 5936 away from 6566, we end up with 630.
Fetch the next digit (1) from the dividend, attach it to 630 and continue: 6301 / 742

Let's proceed to step 8:
742 can be fit into 6301 8 times, resulting in a remainder of 365.
Record the quotient 8 as the next digit in the result. 
Result so far: 131588.0
If we subtract 5936 from 6301, we get 365.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3650, and continue the process.

Step 9:
742 goes into 3650 4 times with a remainder of 682.
Use 4 as the next digit of our solution. 
Result so far: 131588.4
If we take 2968 away from 3650, we end up with 682.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6820, and continue the process.

Advancing to step 10:
742 goes into 6820 9 times with a remainder of 142.
Put 9 as the next digit of the answer. 
Result so far: 131588.49
Deduct 6678 from 6820 and we're left with 142.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1420, and continue the process.

Advancing to step 11:
742 goes into 1420 1 times with a remainder of 678.
Write down 1 as next digit of the result. 
Result so far: 131588.491
If we subtract 742 from 1420, we get 678.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6780, and continue the process.

Let's proceed to step 12:
742 goes into 6780 9 times with a remainder of 102.
Use 9 as the next digit of our solution. 
Result so far: 131588.4919
Deduct 6678 from 6780 and we're left with 102.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1020, and continue the process.

Step 13:
1020 divided by 742 is 1 with a remainder of 278.
Write down 1 as next digit of the result. 
Result so far: 131588.49191
Subtract 742 from 1020 to get 278.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2780, and continue the process.

Step 14:
The number 742 fits into 2780 3 times, leaving a remainder of 554.
Record the quotient 3 as the next digit in the result. 
Result so far: 131588.491913
Subtract 2226 from 2780 to get 554.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5540, and continue the process.

Moving on to step 15:
When dividing 5540 by 742, we get 7 with a remainder of 346.
The next digit of our result is 7. 
Result so far: 131588.4919137
Deduct 5194 from 5540 and we're left with 346.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3460, and continue the process.

Going ahead to step 16:
3460 divided by 742 is 4 with a remainder of 492.
Put 4 as the next digit of the answer. 
Result so far: 131588.49191374
Subtract 2968 from 3460 to get 492.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4920, and continue the process.

Our division results in 131588.49191374 with a remaining 4.92e-07.