Let's divide 643361 by 10
We're looking to find how many times 10 goes into 643361.

Going ahead to step 1:
When dividing 6 by 10, we get 0 with a remainder of 6.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 6 after subtracting 0 from 6.
Include the next digit (4) from the dividend after 6, then repeat: 64 / 10

On to step 2:
10 goes into 64 6 times with a remainder of 4.
Use 6 as the next digit of our solution. 
Result so far: 6.0
Subtract 60 from 64 to get 4.
Take the next digit (3) from the dividend and append it to 4, then repeat: 43 / 10

On to step 3:
When dividing 43 by 10, we get 4 with a remainder of 3.
The number 4 becomes the next digit in our result. 
Result so far: 64.0
Subtract 40 from 43 to get 3.
Fetch the next digit (3) from the dividend, attach it to 3 and continue: 33 / 10

Let's proceed to step 4:
The number 10 fits into 33 3 times, leaving a remainder of 3.
Use 3 as the next digit of our solution. 
Result so far: 643.0
Subtract 30 from 33 to get 3.
Fetch the next digit (6) from the dividend, attach it to 3 and continue: 36 / 10

On to step 5:
The number 10 fits into 36 3 times, leaving a remainder of 6.
The next digit of our result is 3. 
Result so far: 6433.0
If we subtract 30 from 36, we get 6.
Grab the next digit (1) from the dividend, add it to 6, then carry on: 61 / 10

On to step 6:
10 can be fit into 61 6 times, resulting in a remainder of 1.
Use 6 as the next digit of our solution. 
Result so far: 64336.0
Subtract 60 from 61 to get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Advancing to step 7:
10 can be fit into 10 1 times, resulting in a remainder of 0.
The number 1 becomes the next digit in our result. 
Result so far: 64336.1
If we take 10 away from 10, we end up 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.

Let's proceed to step 8:
10 can be fit into 0 0 times, resulting in a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 64336.1
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 9:
10 can be fit into 0 0 times, resulting in a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 64336.1
The remainder is 0 after subtracting 0 from 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

The quotient of the division is 64336.1, and the remainder is 0.0.