431459 ÷ 64 
We want to divide 431459 by 64.

Going ahead to step 1:
64 goes into 4 0 times with a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 4 and we're left with 4.
Bring next digit (3) of the dividend behind the 4 and repeat the process: 43 / 64

Advancing to step 2:
If we divide 43 by 64, we get 0 and a remainder of 43.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 43, we end up with 43.
Append the next digit (1) from the dividend to 43 and continue with: 431 / 64

Step 3:
The number 64 fits into 431 6 times, leaving a remainder of 47.
Put 6 as the next digit of the answer. 
Result so far: 6.0
Subtracting 384 from 431 leaves us with 47.
Append the next digit (4) from the dividend to 47 and continue with: 474 / 64

Step 4:
64 can be fit into 474 7 times, resulting in a remainder of 26.
Record the quotient 7 as the next digit in the result. 
Result so far: 67.0
If we subtract 448 from 474, we get 26.
Take the next digit (5) from the dividend and append it to 26, then repeat: 265 / 64

Going ahead to step 5:
When dividing 265 by 64, we get 4 with a remainder of 9.
Record the quotient 4 as the next digit in the result. 
Result so far: 674.0
If we subtract 256 from 265, we get 9.
Include the next digit (9) from the dividend after 9, then repeat: 99 / 64

On to step 6:
When dividing 99 by 64, we get 1 with a remainder of 35.
The next digit of our result is 1. 
Result so far: 6741.0
Subtract 64 from 99 to 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.

On to step 7:
350 divided by 64 is 5 with a remainder of 30.
Use 5 as the next digit of our solution. 
Result so far: 6741.5
The remainder is 30 after subtracting 320 from 350.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Going ahead to step 8:
300 divided by 64 is 4 with a remainder of 44.
The next digit of our result is 4. 
Result so far: 6741.54
If we take 256 away from 300, we end up with 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Advancing to step 9:
440 divided by 64 is 6 with a remainder of 56.
Write down 6 as next digit of the result. 
Result so far: 6741.546
If we subtract 384 from 440, we get 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Going ahead to step 10:
64 goes into 560 8 times with a remainder of 48.
Record the quotient 8 as the next digit in the result. 
Result so far: 6741.5468
Subtracting 512 from 560 leaves us with 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Going ahead to step 11:
If we divide 480 by 64, we get 7 and a remainder of 32.
Use 7 as the next digit of our solution. 
Result so far: 6741.54687
If we take 448 away from 480, we end up 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.

Going ahead to step 12:
64 goes into 320 5 times with a remainder of 0.
Put 5 as the next digit of the answer. 
Result so far: 6741.546875
Subtracting 320 from 320 leaves us 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 13:
If we divide 0 by 64, we get 0 and a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 6741.546875
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.

Moving on to step 14:
64 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: 6741.546875
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.

The quotient of the division is 6741.546875, and the remainder is 0.0.