6465 divided by 89 
We want to figure out the number of times 6465 can be divided by 89.

Moving on to step 1:
The number 89 fits into 6 0 times, leaving a remainder of 6.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 6, we get 6.
Append the next digit (4) from the dividend to 6 and continue with: 64 / 89

Moving on to step 2:
89 goes into 64 0 times with a remainder of 64.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 64, we end up with 64.
Include the next digit (6) from the dividend after 64, then repeat: 646 / 89

Step 3:
646 divided by 89 is 7 with a remainder of 23.
Write down 7 as next digit of the result. 
Result so far: 7.0
If we subtract 623 from 646, we get 23.
Fetch the next digit (5) from the dividend, attach it to 23 and continue: 235 / 89

On to step 4:
The number 89 fits into 235 2 times, leaving a remainder of 57.
The next digit of our result is 2. 
Result so far: 72.0
Deduct 178 from 235 and we're left with 57.
Since there are no more digits in the dividend, we add a zero to the remainder making it 570, and continue the process.

On to step 5:
570 divided by 89 is 6 with a remainder of 36.
The number 6 becomes the next digit in our result. 
Result so far: 72.6
The remainder is 36 after subtracting 534 from 570.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Let's proceed to step 6:
When dividing 360 by 89, we get 4 with a remainder of 4.
Put 4 as the next digit of the answer. 
Result so far: 72.64
Deduct 356 from 360 and we're left with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Advancing to step 7:
When dividing 40 by 89, we get 0 with a remainder of 40.
Put 0 as the next digit of the answer. 
Result so far: 72.64
Subtracting 0 from 40 leaves us with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Moving on to step 8:
400 divided by 89 is 4 with a remainder of 44.
Write down 4 as next digit of the result. 
Result so far: 72.6404
If we subtract 356 from 400, we get 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Advancing to step 9:
When dividing 440 by 89, we get 4 with a remainder of 84.
Write down 4 as next digit of the result. 
Result so far: 72.64044
If we take 356 away from 440, we end up with 84.
Since there are no more digits in the dividend, we add a zero to the remainder making it 840, and continue the process.

In conclusion, the division gives 72.64044 with a balance of 8.4e-05.