7645 divided by 10 
Let's see how many times 10 fits into 7645.

Advancing to step 1:
10 goes into 7 0 times with a remainder of 7.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 7 leaves us with 7.
Bring next digit (6) of the dividend behind the 7 and repeat the process: 76 / 10

Step 2:
The number 10 fits into 76 7 times, leaving a remainder of 6.
Put 7 as the next digit of the answer. 
Result so far: 7.0
If we subtract 70 from 76, we get 6.
Bring next digit (4) of the dividend behind the 6 and repeat the process: 64 / 10

Going ahead to step 3:
When dividing 64 by 10, we get 6 with a remainder of 4.
Put 6 as the next digit of the answer. 
Result so far: 76.0
If we subtract 60 from 64, we get 4.
Bring next digit (5) of the dividend behind the 4 and repeat the process: 45 / 10

Moving on to step 4:
The number 10 fits into 45 4 times, leaving a remainder of 5.
The next digit of our result is 4. 
Result so far: 764.0
The remainder is 5 after subtracting 40 from 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Moving on to step 5:
When dividing 50 by 10, we get 5 with a remainder of 0.
The next digit of our result is 5. 
Result so far: 764.5
If we subtract 50 from 50, we get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Advancing to step 6:
The number 10 fits into 0 0 times, leaving a remainder of 0.
The next digit of our result is 0. 
Result so far: 764.5
The remainder is 0 after subtracting 0 from 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Going ahead to step 7:
0 divided by 10 is 0 with a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 764.5
If we subtract 0 from 0, we get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

In conclusion, the division gives 764.5 with a balance of 0.0.