We look at the division of 584312 by 63 
We want to divide 584312 by 63.

Moving on to step 1:
If we divide 5 by 63, we get 0 and a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Take the next digit (8) from the dividend and append it to 5, then repeat: 58 / 63

On to step 2:
63 goes into 58 0 times with a remainder of 58.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 58, we end up with 58.
Fetch the next digit (4) from the dividend, attach it to 58 and continue: 584 / 63

Going ahead to step 3:
When dividing 584 by 63, we get 9 with a remainder of 17.
Write down 9 as next digit of the result. 
Result so far: 9.0
If we subtract 567 from 584, we get 17.
Include the next digit (3) from the dividend after 17, then repeat: 173 / 63

Going ahead to step 4:
173 divided by 63 is 2 with a remainder of 47.
The next digit of our result is 2. 
Result so far: 92.0
Subtract 126 from 173 to get 47.
Append the next digit (1) from the dividend to 47 and continue with: 471 / 63

Advancing to step 5:
The number 63 fits into 471 7 times, leaving a remainder of 30.
Use 7 as the next digit of our solution. 
Result so far: 927.0
The remainder is 30 after subtracting 441 from 471.
Fetch the next digit (2) from the dividend, attach it to 30 and continue: 302 / 63

Step 6:
63 can be fit into 302 4 times, resulting in a remainder of 50.
The number 4 becomes the next digit in our result. 
Result so far: 9274.0
Subtracting 252 from 302 leaves us with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Moving on to step 7:
63 can be fit into 500 7 times, resulting in a remainder of 59.
The next digit of our result is 7. 
Result so far: 9274.7
Deduct 441 from 500 and we're left with 59.
Since there are no more digits in the dividend, we add a zero to the remainder making it 590, and continue the process.

Step 8:
63 goes into 590 9 times with a remainder of 23.
The number 9 becomes the next digit in our result. 
Result so far: 9274.79
If we take 567 away from 590, we end up with 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Advancing to step 9:
When dividing 230 by 63, we get 3 with a remainder of 41.
The number 3 becomes the next digit in our result. 
Result so far: 9274.793
The remainder is 41 after subtracting 189 from 230.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

Step 10:
The number 63 fits into 410 6 times, leaving a remainder of 32.
Put 6 as the next digit of the answer. 
Result so far: 9274.7936
If we take 378 away from 410, 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.

Moving on to step 11:
If we divide 320 by 63, we get 5 and a remainder of 5.
Use 5 as the next digit of our solution. 
Result so far: 9274.79365
Deduct 315 from 320 and we're left with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Moving on to step 12:
63 can be fit into 50 0 times, resulting in a remainder of 50.
The number 0 becomes the next digit in our result. 
Result so far: 9274.79365
If we take 0 away from 50, we end up with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Going ahead to step 13:
63 goes into 500 7 times with a remainder of 59.
Write down 7 as next digit of the result. 
Result so far: 9274.7936507
The remainder is 59 after subtracting 441 from 500.
Since there are no more digits in the dividend, we add a zero to the remainder making it 590, and continue the process.

Advancing to step 14:
When dividing 590 by 63, we get 9 with a remainder of 23.
Put 9 as the next digit of the answer. 
Result so far: 9274.79365079
Deduct 567 from 590 and we're left with 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

The quotient of the division is 9274.79365079, and the remainder is 2.3e-08.