343697 divided by 64 
We want to figure out the number of times 343697 can be divided by 64.

On to step 1:
3 divided by 64 is 0 with a remainder of 3.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 3 leaves us with 3.
Grab the next digit (4) from the dividend, add it to 3, then carry on: 34 / 64

Going ahead to step 2:
If we divide 34 by 64, we get 0 and 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.
Append the next digit (3) from the dividend to 34 and continue with: 343 / 64

Going ahead to step 3:
The number 64 fits into 343 5 times, leaving a remainder of 23.
Use 5 as the next digit of our solution. 
Result so far: 5.0
If we take 320 away from 343, we end up with 23.
Include the next digit (6) from the dividend after 23, then repeat: 236 / 64

On to step 4:
64 goes into 236 3 times with a remainder of 44.
Use 3 as the next digit of our solution. 
Result so far: 53.0
Subtracting 192 from 236 leaves us with 44.
Fetch the next digit (9) from the dividend, attach it to 44 and continue: 449 / 64

Advancing to step 5:
When dividing 449 by 64, we get 7 with a remainder of 1.
Write down 7 as next digit of the result. 
Result so far: 537.0
The remainder is 1 after subtracting 448 from 449.
Grab the next digit (7) from the dividend, add it to 1, then carry on: 17 / 64

Going ahead to step 6:
If we divide 17 by 64, we get 0 and a remainder of 17.
Put 0 as the next digit of the answer. 
Result so far: 5370.0
If we take 0 away from 17, we end up with 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

On to step 7:
When dividing 170 by 64, we get 2 with a remainder of 42.
Use 2 as the next digit of our solution. 
Result so far: 5370.2
Deduct 128 from 170 and we're left with 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

On to step 8:
When dividing 420 by 64, we get 6 with a remainder of 36.
The number 6 becomes the next digit in our result. 
Result so far: 5370.26
Subtract 384 from 420 to get 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Moving on to step 9:
64 can be fit into 360 5 times, resulting in a remainder of 40.
Use 5 as the next digit of our solution. 
Result so far: 5370.265
If we take 320 away from 360, we end up 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.

Going ahead to step 10:
If we divide 400 by 64, we get 6 and a remainder of 16.
The next digit of our result is 6. 
Result so far: 5370.2656
If we take 384 away from 400, we end up with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Moving on to step 11:
The number 64 fits into 160 2 times, leaving a remainder of 32.
Use 2 as the next digit of our solution. 
Result so far: 5370.26562
Deduct 128 from 160 and we're left with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Step 12:
64 can be fit into 320 5 times, resulting in a remainder of 0.
The number 5 becomes the next digit in our result. 
Result so far: 5370.265625
Subtract 320 from 320 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.

Step 13:
If we divide 0 by 64, we get 0 and a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 5370.265625
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.

Let's proceed to step 14:
0 divided by 64 is 0 with a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 5370.265625
If we subtract 0 from 0, we 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.

The quotient of the division is 5370.265625, and the remainder is 0.0.