We're dividing 345688 by 65 
We want to divide 345688 by 65.

Moving on to step 1:
65 can be fit into 3 0 times, resulting in a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 3, we get 3.
Bring next digit (4) of the dividend behind the 3 and repeat the process: 34 / 65

Going ahead to step 2:
If we divide 34 by 65, we get 0 and a remainder of 34.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 34 and we're left with 34.
Take the next digit (5) from the dividend and append it to 34, then repeat: 345 / 65

Moving on to step 3:
If we divide 345 by 65, we get 5 and a remainder of 20.
Record the quotient 5 as the next digit in the result. 
Result so far: 5.0
Subtract 325 from 345 to get 20.
Grab the next digit (6) from the dividend, add it to 20, then carry on: 206 / 65

Going ahead to step 4:
206 divided by 65 is 3 with a remainder of 11.
Use 3 as the next digit of our solution. 
Result so far: 53.0
If we subtract 195 from 206, we get 11.
Take the next digit (8) from the dividend and append it to 11, then repeat: 118 / 65

Advancing to step 5:
When dividing 118 by 65, we get 1 with a remainder of 53.
The number 1 becomes the next digit in our result. 
Result so far: 531.0
If we take 65 away from 118, we end up with 53.
Include the next digit (8) from the dividend after 53, then repeat: 538 / 65

Advancing to step 6:
65 goes into 538 8 times with a remainder of 18.
Record the quotient 8 as the next digit in the result. 
Result so far: 5318.0
If we take 520 away from 538, we end up with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Step 7:
If we divide 180 by 65, we get 2 and a remainder of 50.
Use 2 as the next digit of our solution. 
Result so far: 5318.2
If we subtract 130 from 180, we get 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Going ahead to step 8:
The number 65 fits into 500 7 times, leaving a remainder of 45.
The next digit of our result is 7. 
Result so far: 5318.27
If we take 455 away from 500, we end up with 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Going ahead to step 9:
The number 65 fits into 450 6 times, leaving a remainder of 60.
The number 6 becomes the next digit in our result. 
Result so far: 5318.276
Deduct 390 from 450 and we're left with 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

On to step 10:
65 goes into 600 9 times with a remainder of 15.
Use 9 as the next digit of our solution. 
Result so far: 5318.2769
Subtracting 585 from 600 leaves us with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Advancing to step 11:
65 can be fit into 150 2 times, resulting in a remainder of 20.
The number 2 becomes the next digit in our result. 
Result so far: 5318.27692
Subtract 130 from 150 to get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Going ahead to step 12:
200 divided by 65 is 3 with a remainder of 5.
The number 3 becomes the next digit in our result. 
Result so far: 5318.276923
Subtract 195 from 200 to get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

On to step 13:
65 can be fit into 50 0 times, resulting in a remainder of 50.
Record the quotient 0 as the next digit in the result. 
Result so far: 5318.276923
If we subtract 0 from 50, we get 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Step 14:
When dividing 500 by 65, we get 7 with a remainder of 45.
Write down 7 as next digit of the result. 
Result so far: 5318.27692307
Subtract 455 from 500 to get 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

The quotient of the division is 5318.27692307, and the remainder is 4.5e-08.