We're dividing 886414 by 65 
We want to figure out the number of times 886414 can be divided by 65.

Step 1:
The number 65 fits into 8 0 times, leaving a remainder of 8.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 8 after subtracting 0 from 8.
Include the next digit (8) from the dividend after 8, then repeat: 88 / 65

Moving on to step 2:
If we divide 88 by 65, we get 1 and a remainder of 23.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Deduct 65 from 88 and we're left with 23.
Take the next digit (6) from the dividend and append it to 23, then repeat: 236 / 65

Advancing to step 3:
If we divide 236 by 65, we get 3 and a remainder of 41.
Write down 3 as next digit of the result. 
Result so far: 13.0
If we take 195 away from 236, we end up with 41.
Include the next digit (4) from the dividend after 41, then repeat: 414 / 65

Advancing to step 4:
65 goes into 414 6 times with a remainder of 24.
Record the quotient 6 as the next digit in the result. 
Result so far: 136.0
Subtract 390 from 414 to get 24.
Fetch the next digit (1) from the dividend, attach it to 24 and continue: 241 / 65

Advancing to step 5:
If we divide 241 by 65, we get 3 and a remainder of 46.
Write down 3 as next digit of the result. 
Result so far: 1363.0
If we subtract 195 from 241, we get 46.
Fetch the next digit (4) from the dividend, attach it to 46 and continue: 464 / 65

Going ahead to step 6:
If we divide 464 by 65, we get 7 and a remainder of 9.
Record the quotient 7 as the next digit in the result. 
Result so far: 13637.0
If we subtract 455 from 464, we get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Going ahead to step 7:
If we divide 90 by 65, we get 1 and a remainder of 25.
Write down 1 as next digit of the result. 
Result so far: 13637.1
If we take 65 away from 90, we end up 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.

Going ahead to step 8:
When dividing 250 by 65, we get 3 with a remainder of 55.
The number 3 becomes the next digit in our result. 
Result so far: 13637.13
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:
550 divided by 65 is 8 with a remainder of 30.
Record the quotient 8 as the next digit in the result. 
Result so far: 13637.138
The remainder is 30 after subtracting 520 from 550.
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:
300 divided by 65 is 4 with a remainder of 40.
The next digit of our result is 4. 
Result so far: 13637.1384
If we take 260 away from 300, we end up 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 11:
400 divided by 65 is 6 with a remainder of 10.
Record the quotient 6 as the next digit in the result. 
Result so far: 13637.13846
If we subtract 390 from 400, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Moving on to step 12:
65 can be fit into 100 1 times, resulting in a remainder of 35.
Use 1 as the next digit of our solution. 
Result so far: 13637.138461
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.

Moving on to step 13:
350 divided by 65 is 5 with a remainder of 25.
The number 5 becomes the next digit in our result. 
Result so far: 13637.1384615
Deduct 325 from 350 and we're left 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.

Step 14:
65 goes into 250 3 times with a remainder of 55.
The number 3 becomes the next digit in our result. 
Result so far: 13637.13846153
Subtracting 195 from 250 leaves us 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.

In conclusion, the division gives 13637.13846153 with a balance of 5.5e-08.