We're dividing 7097917 by 512 
We want to figure out the number of times 7097917 can be divided by 512.

Step 1:
7 divided by 512 is 0 with a remainder of 7.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 7 and we're left with 7.
Bring next digit (0) of the dividend behind the 7 and repeat the process: 70 / 512

Advancing to step 2:
512 can be fit into 70 0 times, resulting in a remainder of 70.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 70, we end up with 70.
Bring next digit (9) of the dividend behind the 70 and repeat the process: 709 / 512

Step 3:
The number 512 fits into 709 1 times, leaving a remainder of 197.
The next digit of our result is 1. 
Result so far: 1.0
If we subtract 512 from 709, we get 197.
Fetch the next digit (7) from the dividend, attach it to 197 and continue: 1977 / 512

Let's proceed to step 4:
If we divide 1977 by 512, we get 3 and a remainder of 441.
Record the quotient 3 as the next digit in the result. 
Result so far: 13.0
Deduct 1536 from 1977 and we're left with 441.
Fetch the next digit (9) from the dividend, attach it to 441 and continue: 4419 / 512

On to step 5:
512 can be fit into 4419 8 times, resulting in a remainder of 323.
Record the quotient 8 as the next digit in the result. 
Result so far: 138.0
Deduct 4096 from 4419 and we're left with 323.
Fetch the next digit (1) from the dividend, attach it to 323 and continue: 3231 / 512

On to step 6:
512 goes into 3231 6 times with a remainder of 159.
Use 6 as the next digit of our solution. 
Result so far: 1386.0
Subtracting 3072 from 3231 leaves us with 159.
Include the next digit (7) from the dividend after 159, then repeat: 1597 / 512

On to step 7:
1597 divided by 512 is 3 with a remainder of 61.
Use 3 as the next digit of our solution. 
Result so far: 13863.0
Deduct 1536 from 1597 and we're left with 61.
Since there are no more digits in the dividend, we add a zero to the remainder making it 610, and continue the process.

Step 8:
The number 512 fits into 610 1 times, leaving a remainder of 98.
The next digit of our result is 1. 
Result so far: 13863.1
If we subtract 512 from 610, we get 98.
Since there are no more digits in the dividend, we add a zero to the remainder making it 980, and continue the process.

Going ahead to step 9:
When dividing 980 by 512, we get 1 with a remainder of 468.
Record the quotient 1 as the next digit in the result. 
Result so far: 13863.11
The remainder is 468 after subtracting 512 from 980.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4680, and continue the process.

The final result is 13863.11 with a remainder of 0.468.