We're dividing 7643363 by 665 
We want to figure out the number of times 7643363 can be divided by 665.

On to step 1:
If we divide 7 by 665, we get 0 and a remainder of 7.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 7 to get 7.
Append the next digit (6) from the dividend to 7 and continue with: 76 / 665

Moving on to step 2:
665 can be fit into 76 0 times, resulting in a remainder of 76.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 76, we end up with 76.
Take the next digit (4) from the dividend and append it to 76, then repeat: 764 / 665

Moving on to step 3:
665 can be fit into 764 1 times, resulting in a remainder of 99.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Deduct 665 from 764 and we're left with 99.
Fetch the next digit (3) from the dividend, attach it to 99 and continue: 993 / 665

Let's proceed to step 4:
When dividing 993 by 665, we get 1 with a remainder of 328.
The number 1 becomes the next digit in our result. 
Result so far: 11.0
Subtracting 665 from 993 leaves us with 328.
Grab the next digit (3) from the dividend, add it to 328, then carry on: 3283 / 665

Moving on to step 5:
When dividing 3283 by 665, we get 4 with a remainder of 623.
Record the quotient 4 as the next digit in the result. 
Result so far: 114.0
If we subtract 2660 from 3283, we get 623.
Append the next digit (6) from the dividend to 623 and continue with: 6236 / 665

Let's proceed to step 6:
665 can be fit into 6236 9 times, resulting in a remainder of 251.
The number 9 becomes the next digit in our result. 
Result so far: 1149.0
Deduct 5985 from 6236 and we're left with 251.
Fetch the next digit (3) from the dividend, attach it to 251 and continue: 2513 / 665

Let's proceed to step 7:
2513 divided by 665 is 3 with a remainder of 518.
Record the quotient 3 as the next digit in the result. 
Result so far: 11493.0
If we subtract 1995 from 2513, we get 518.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5180, and continue the process.

Moving on to step 8:
5180 divided by 665 is 7 with a remainder of 525.
The number 7 becomes the next digit in our result. 
Result so far: 11493.7
If we subtract 4655 from 5180, we get 525.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5250, and continue the process.

Going ahead to step 9:
5250 divided by 665 is 7 with a remainder of 595.
The number 7 becomes the next digit in our result. 
Result so far: 11493.77
If we take 4655 away from 5250, we end up with 595.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5950, and continue the process.

In conclusion, the division gives 11493.77 with a balance of 0.595.