We look at the division of 97450657 by 778 
We want to figure out the number of times 97450657 can be divided by 778.

On to step 1:
If we divide 9 by 778, we get 0 and a remainder of 9.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 9, we get 9.
Grab the next digit (7) from the dividend, add it to 9, then carry on: 97 / 778

Going ahead to step 2:
97 divided by 778 is 0 with a remainder of 97.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 97 leaves us with 97.
Grab the next digit (4) from the dividend, add it to 97, then carry on: 974 / 778

On to step 3:
778 goes into 974 1 times with a remainder of 196.
The next digit of our result is 1. 
Result so far: 1.0
Subtract 778 from 974 to get 196.
Fetch the next digit (5) from the dividend, attach it to 196 and continue: 1965 / 778

Going ahead to step 4:
The number 778 fits into 1965 2 times, leaving a remainder of 409.
Put 2 as the next digit of the answer. 
Result so far: 12.0
The remainder is 409 after subtracting 1556 from 1965.
Append the next digit (0) from the dividend to 409 and continue with: 4090 / 778

Moving on to step 5:
778 can be fit into 4090 5 times, resulting in a remainder of 200.
Record the quotient 5 as the next digit in the result. 
Result so far: 125.0
Deduct 3890 from 4090 and we're left with 200.
Include the next digit (6) from the dividend after 200, then repeat: 2006 / 778

Moving on to step 6:
2006 divided by 778 is 2 with a remainder of 450.
Use 2 as the next digit of our solution. 
Result so far: 1252.0
If we take 1556 away from 2006, we end up with 450.
Fetch the next digit (5) from the dividend, attach it to 450 and continue: 4505 / 778

Step 7:
4505 divided by 778 is 5 with a remainder of 615.
The next digit of our result is 5. 
Result so far: 12525.0
Subtract 3890 from 4505 to get 615.
Bring next digit (7) of the dividend behind the 615 and repeat the process: 6157 / 778

Step 8:
The number 778 fits into 6157 7 times, leaving a remainder of 711.
The next digit of our result is 7. 
Result so far: 125257.0
Subtracting 5446 from 6157 leaves us with 711.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7110, and continue the process.

Advancing to step 9:
If we divide 7110 by 778, we get 9 and a remainder of 108.
The number 9 becomes the next digit in our result. 
Result so far: 125257.9
Subtracting 7002 from 7110 leaves us with 108.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1080, and continue the process.

Step 10:
The number 778 fits into 1080 1 times, leaving a remainder of 302.
The number 1 becomes the next digit in our result. 
Result so far: 125257.91
Deduct 778 from 1080 and we're left with 302.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3020, and continue the process.

On to step 11:
3020 divided by 778 is 3 with a remainder of 686.
The number 3 becomes the next digit in our result. 
Result so far: 125257.913
Deduct 2334 from 3020 and we're left with 686.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6860, and continue the process.

On to step 12:
778 can be fit into 6860 8 times, resulting in a remainder of 636.
Write down 8 as next digit of the result. 
Result so far: 125257.9138
Deduct 6224 from 6860 and we're left with 636.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6360, and continue the process.

Advancing to step 13:
778 can be fit into 6360 8 times, resulting in a remainder of 136.
The number 8 becomes the next digit in our result. 
Result so far: 125257.91388
Subtracting 6224 from 6360 leaves us with 136.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1360, and continue the process.

The final result is 125257.91388 with a remainder of 0.000136.