646341 divided by 96 
We want to figure out the number of times 646341 can be divided by 96.

Going ahead to step 1:
96 can be fit into 6 0 times, resulting in a remainder of 6.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 6 and we're left with 6.
Take the next digit (4) from the dividend and append it to 6, then repeat: 64 / 96

Let's proceed to step 2:
64 divided by 96 is 0 with a remainder of 64.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 64 to get 64.
Grab the next digit (6) from the dividend, add it to 64, then carry on: 646 / 96

Step 3:
96 can be fit into 646 6 times, resulting in a remainder of 70.
Use 6 as the next digit of our solution. 
Result so far: 6.0
Deduct 576 from 646 and we're left with 70.
Grab the next digit (3) from the dividend, add it to 70, then carry on: 703 / 96

Step 4:
The number 96 fits into 703 7 times, leaving a remainder of 31.
Record the quotient 7 as the next digit in the result. 
Result so far: 67.0
The remainder is 31 after subtracting 672 from 703.
Fetch the next digit (4) from the dividend, attach it to 31 and continue: 314 / 96

On to step 5:
314 divided by 96 is 3 with a remainder of 26.
The next digit of our result is 3. 
Result so far: 673.0
The remainder is 26 after subtracting 288 from 314.
Include the next digit (1) from the dividend after 26, then repeat: 261 / 96

Let's proceed to step 6:
261 divided by 96 is 2 with a remainder of 69.
Record the quotient 2 as the next digit in the result. 
Result so far: 6732.0
Subtract 192 from 261 to get 69.
Since there are no more digits in the dividend, we add a zero to the remainder making it 690, and continue the process.

Going ahead to step 7:
When dividing 690 by 96, we get 7 with a remainder of 18.
The next digit of our result is 7. 
Result so far: 6732.7
Subtract 672 from 690 to get 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 8:
96 goes into 180 1 times with a remainder of 84.
The next digit of our result is 1. 
Result so far: 6732.71
If we subtract 96 from 180, we get 84.
Since there are no more digits in the dividend, we add a zero to the remainder making it 840, and continue the process.

Let's proceed to step 9:
840 divided by 96 is 8 with a remainder of 72.
Use 8 as the next digit of our solution. 
Result so far: 6732.718
Subtract 768 from 840 to get 72.
Since there are no more digits in the dividend, we add a zero to the remainder making it 720, and continue the process.

Advancing to step 10:
When dividing 720 by 96, we get 7 with a remainder of 48.
Put 7 as the next digit of the answer. 
Result so far: 6732.7187
If we subtract 672 from 720, we get 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Step 11:
96 can be fit into 480 5 times, resulting in a remainder of 0.
Use 5 as the next digit of our solution. 
Result so far: 6732.71875
Deduct 480 from 480 and we're left with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

On to step 12:
If we divide 0 by 96, we get 0 and a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 6732.71875
Subtract 0 from 0 to get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

On to step 13:
96 goes into 0 0 times with a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 6732.71875
Deduct 0 from 0 and we're left with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

After the division, we end up with 6732.71875 and a remainder of 0.0.