We're dividing 344343 by 64 
We're looking to find how many times 64 goes into 344343.

Moving on to step 1:
When dividing 3 by 64, we get 0 with a remainder of 3.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 3, we end up with 3.
Take the next digit (4) from the dividend and append it to 3, then repeat: 34 / 64

Moving on to step 2:
The number 64 fits into 34 0 times, leaving a remainder of 34.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 34 to get 34.
Take the next digit (4) from the dividend and append it to 34, then repeat: 344 / 64

Step 3:
64 goes into 344 5 times with a remainder of 24.
Write down 5 as next digit of the result. 
Result so far: 5.0
If we take 320 away from 344, we end up with 24.
Append the next digit (3) from the dividend to 24 and continue with: 243 / 64

On to step 4:
If we divide 243 by 64, we get 3 and a remainder of 51.
Put 3 as the next digit of the answer. 
Result so far: 53.0
The remainder is 51 after subtracting 192 from 243.
Fetch the next digit (4) from the dividend, attach it to 51 and continue: 514 / 64

Moving on to step 5:
When dividing 514 by 64, we get 8 with a remainder of 2.
Use 8 as the next digit of our solution. 
Result so far: 538.0
Deduct 512 from 514 and we're left with 2.
Bring next digit (3) of the dividend behind the 2 and repeat the process: 23 / 64

Going ahead to step 6:
64 goes into 23 0 times with a remainder of 23.
Write down 0 as next digit of the result. 
Result so far: 5380.0
Subtract 0 from 23 to get 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Step 7:
64 can be fit into 230 3 times, resulting in a remainder of 38.
Write down 3 as next digit of the result. 
Result so far: 5380.3
Subtracting 192 from 230 leaves us with 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

On to step 8:
The number 64 fits into 380 5 times, leaving a remainder of 60.
The number 5 becomes the next digit in our result. 
Result so far: 5380.35
Subtracting 320 from 380 leaves us 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.

Advancing to step 9:
64 goes into 600 9 times with a remainder of 24.
Use 9 as the next digit of our solution. 
Result so far: 5380.359
The remainder is 24 after subtracting 576 from 600.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Let's proceed to step 10:
240 divided by 64 is 3 with a remainder of 48.
Use 3 as the next digit of our solution. 
Result so far: 5380.3593
The remainder is 48 after subtracting 192 from 240.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Let's proceed to step 11:
When dividing 480 by 64, we get 7 with a remainder of 32.
Put 7 as the next digit of the answer. 
Result so far: 5380.35937
The remainder is 32 after subtracting 448 from 480.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Advancing to step 12:
If we divide 320 by 64, we get 5 and a remainder of 0.
Write down 5 as next digit of the result. 
Result so far: 5380.359375
The remainder is 0 after subtracting 320 from 320.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Advancing to step 13:
0 divided by 64 is 0 with a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 5380.359375
If we take 0 away from 0, 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.

Moving on to step 14:
When dividing 0 by 64, we get 0 with a remainder of 0.
The next digit of our result is 0. 
Result so far: 5380.359375
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 5380.359375, and the remainder is 0.0.