676589 ÷ 64 
Our goal is to divide 676589 by 64.

Let's proceed to step 1:
The number 64 fits into 6 0 times, leaving a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 6 to get 6.
Take the next digit (7) from the dividend and append it to 6, then repeat: 67 / 64

On to step 2:
64 goes into 67 1 times with a remainder of 3.
Use 1 as the next digit of our solution. 
Result so far: 1.0
If we take 64 away from 67, we end up with 3.
Fetch the next digit (6) from the dividend, attach it to 3 and continue: 36 / 64

Going ahead to step 3:
When dividing 36 by 64, we get 0 with a remainder of 36.
Put 0 as the next digit of the answer. 
Result so far: 10.0
Subtracting 0 from 36 leaves us with 36.
Fetch the next digit (5) from the dividend, attach it to 36 and continue: 365 / 64

Advancing to step 4:
The number 64 fits into 365 5 times, leaving a remainder of 45.
The number 5 becomes the next digit in our result. 
Result so far: 105.0
Deduct 320 from 365 and we're left with 45.
Bring next digit (8) of the dividend behind the 45 and repeat the process: 458 / 64

Advancing to step 5:
When dividing 458 by 64, we get 7 with a remainder of 10.
The number 7 becomes the next digit in our result. 
Result so far: 1057.0
The remainder is 10 after subtracting 448 from 458.
Append the next digit (9) from the dividend to 10 and continue with: 109 / 64

Moving on to step 6:
64 goes into 109 1 times with a remainder of 45.
The number 1 becomes the next digit in our result. 
Result so far: 10571.0
If we take 64 away from 109, we end up with 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Step 7:
64 goes into 450 7 times with a remainder of 2.
Use 7 as the next digit of our solution. 
Result so far: 10571.7
Subtracting 448 from 450 leaves us with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Let's proceed to step 8:
If we divide 20 by 64, we get 0 and a remainder of 20.
The next digit of our result is 0. 
Result so far: 10571.7
If we take 0 away from 20, we end up with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Moving on to step 9:
The number 64 fits into 200 3 times, leaving a remainder of 8.
The number 3 becomes the next digit in our result. 
Result so far: 10571.703
The remainder is 8 after subtracting 192 from 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Moving on to step 10:
64 goes into 80 1 times with a remainder of 16.
Use 1 as the next digit of our solution. 
Result so far: 10571.7031
Subtract 64 from 80 to get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Going ahead to step 11:
64 goes into 160 2 times with a remainder of 32.
Record the quotient 2 as the next digit in the result. 
Result so far: 10571.70312
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.

Let's proceed to step 12:
When dividing 320 by 64, we get 5 with a remainder of 0.
Put 5 as the next digit of the answer. 
Result so far: 10571.703125
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.

Going ahead to step 13:
When dividing 0 by 64, we get 0 with a remainder of 0.
The next digit of our result is 0. 
Result so far: 10571.703125
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.

Advancing to step 14:
The number 64 fits into 0 0 times, leaving a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 10571.703125
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.

The quotient of the division is 10571.703125, and the remainder is 0.0.