We divide 654169 by 65
We want to figure out the number of times 654169 can be divided by 65.

On to step 1:
65 goes into 6 0 times with a remainder of 6.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 6, we end up with 6.
Grab the next digit (5) from the dividend, add it to 6, then carry on: 65 / 65

Advancing to step 2:
65 goes into 65 1 times with a remainder of 0.
Use 1 as the next digit of our solution. 
Result so far: 1.0
If we subtract 65 from 65, we get 0.
Include the next digit (4) from the dividend after 0, then repeat: 4 / 65

Advancing to step 3:
When dividing 4 by 65, we get 0 with a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 10.0
Subtracting 0 from 4 leaves us with 4.
Bring next digit (1) of the dividend behind the 4 and repeat the process: 41 / 65

Advancing to step 4:
When dividing 41 by 65, we get 0 with a remainder of 41.
Use 0 as the next digit of our solution. 
Result so far: 100.0
If we subtract 0 from 41, we get 41.
Append the next digit (6) from the dividend to 41 and continue with: 416 / 65

Let's proceed to step 5:
65 can be fit into 416 6 times, resulting in a remainder of 26.
Use 6 as the next digit of our solution. 
Result so far: 1006.0
If we take 390 away from 416, we end up with 26.
Append the next digit (9) from the dividend to 26 and continue with: 269 / 65

On to step 6:
65 can be fit into 269 4 times, resulting in a remainder of 9.
The number 4 becomes the next digit in our result. 
Result so far: 10064.0
The remainder is 9 after subtracting 260 from 269.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Advancing to step 7:
When dividing 90 by 65, we get 1 with a remainder of 25.
Write down 1 as next digit of the result. 
Result so far: 10064.1
The remainder is 25 after subtracting 65 from 90.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Step 8:
If we divide 250 by 65, we get 3 and a remainder of 55.
Write down 3 as next digit of the result. 
Result so far: 10064.13
If we take 195 away from 250, we end up with 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Step 9:
If we divide 550 by 65, we get 8 and a remainder of 30.
Put 8 as the next digit of the answer. 
Result so far: 10064.138
If we subtract 520 from 550, we get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

On to step 10:
65 goes into 300 4 times with a remainder of 40.
Use 4 as the next digit of our solution. 
Result so far: 10064.1384
If we subtract 260 from 300, we get 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 11:
When dividing 400 by 65, we get 6 with a remainder of 10.
The number 6 becomes the next digit in our result. 
Result so far: 10064.13846
If we take 390 away from 400, we end up with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Advancing to step 12:
100 divided by 65 is 1 with a remainder of 35.
Use 1 as the next digit of our solution. 
Result so far: 10064.138461
Subtract 65 from 100 to get 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Let's proceed to step 13:
The number 65 fits into 350 5 times, leaving a remainder of 25.
The next digit of our result is 5. 
Result so far: 10064.1384615
Subtracting 325 from 350 leaves us with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

On to step 14:
When dividing 250 by 65, we get 3 with a remainder of 55.
Record the quotient 3 as the next digit in the result. 
Result so far: 10064.13846153
The remainder is 55 after subtracting 195 from 250.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

In conclusion, the division gives 10064.13846153 with a balance of 5.5e-08.