We divide 345921 by 65
We want to divide 345921 by 65.

Advancing 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
The remainder is 3 after subtracting 0 from 3.
Grab the next digit (4) from the dividend, add it to 3, then carry on: 34 / 65

On to step 2:
65 goes into 34 0 times with a remainder of 34.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 34, we end up with 34.
Include the next digit (5) from the dividend after 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
If we subtract 325 from 345, we get 20.
Take the next digit (9) from the dividend and append it to 20, then repeat: 209 / 65

Let's proceed to step 4:
65 goes into 209 3 times with a remainder of 14.
The number 3 becomes the next digit in our result. 
Result so far: 53.0
The remainder is 14 after subtracting 195 from 209.
Grab the next digit (2) from the dividend, add it to 14, then carry on: 142 / 65

Step 5:
If we divide 142 by 65, we get 2 and a remainder of 12.
Write down 2 as next digit of the result. 
Result so far: 532.0
Subtract 130 from 142 to get 12.
Bring next digit (1) of the dividend behind the 12 and repeat the process: 121 / 65

Let's proceed to step 6:
65 goes into 121 1 times with a remainder of 56.
Put 1 as the next digit of the answer. 
Result so far: 5321.0
Subtracting 65 from 121 leaves us with 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Moving on to step 7:
When dividing 560 by 65, we get 8 with a remainder of 40.
Record the quotient 8 as the next digit in the result. 
Result so far: 5321.8
Deduct 520 from 560 and we're left 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:
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: 5321.86
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.

Step 9:
65 goes into 100 1 times with a remainder of 35.
Record the quotient 1 as the next digit in the result. 
Result so far: 5321.861
If we subtract 65 from 100, we 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.

Advancing to step 10:
The number 65 fits into 350 5 times, leaving a remainder of 25.
The next digit of our result is 5. 
Result so far: 5321.8615
Subtract 325 from 350 to get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Moving on to step 11:
65 goes into 250 3 times with a remainder of 55.
Put 3 as the next digit of the answer. 
Result so far: 5321.86153
If we subtract 195 from 250, we get 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

On to step 12:
65 goes into 550 8 times with a remainder of 30.
The number 8 becomes the next digit in our result. 
Result so far: 5321.861538
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 13:
The number 65 fits into 300 4 times, leaving a remainder of 40.
The number 4 becomes the next digit in our result. 
Result so far: 5321.8615384
The remainder is 40 after subtracting 260 from 300.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Advancing to step 14:
The number 65 fits into 400 6 times, leaving a remainder of 10.
Use 6 as the next digit of our solution. 
Result so far: 5321.86153846
The remainder is 10 after subtracting 390 from 400.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

The quotient of the division is 5321.86153846, and the remainder is 1e-08.