583520 ÷ 38 
Our goal is to divide 583520 by 38.

Moving on to step 1:
If we divide 5 by 38, we get 0 and a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Fetch the next digit (8) from the dividend, attach it to 5 and continue: 58 / 38

Advancing to step 2:
If we divide 58 by 38, we get 1 and a remainder of 20.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
If we take 38 away from 58, we end up with 20.
Take the next digit (3) from the dividend and append it to 20, then repeat: 203 / 38

On to step 3:
38 can be fit into 203 5 times, resulting in a remainder of 13.
Record the quotient 5 as the next digit in the result. 
Result so far: 15.0
The remainder is 13 after subtracting 190 from 203.
Append the next digit (5) from the dividend to 13 and continue with: 135 / 38

Let's proceed to step 4:
38 can be fit into 135 3 times, resulting in a remainder of 21.
The number 3 becomes the next digit in our result. 
Result so far: 153.0
Deduct 114 from 135 and we're left with 21.
Grab the next digit (2) from the dividend, add it to 21, then carry on: 212 / 38

On to step 5:
When dividing 212 by 38, we get 5 with a remainder of 22.
The number 5 becomes the next digit in our result. 
Result so far: 1535.0
If we subtract 190 from 212, we get 22.
Grab the next digit (0) from the dividend, add it to 22, then carry on: 220 / 38

Moving on to step 6:
If we divide 220 by 38, we get 5 and a remainder of 30.
Put 5 as the next digit of the answer. 
Result so far: 15355.0
Deduct 190 from 220 and we're left with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Step 7:
38 can be fit into 300 7 times, resulting in a remainder of 34.
Record the quotient 7 as the next digit in the result. 
Result so far: 15355.7
Deduct 266 from 300 and we're left with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Advancing to step 8:
If we divide 340 by 38, we get 8 and a remainder of 36.
The number 8 becomes the next digit in our result. 
Result so far: 15355.78
Deduct 304 from 340 and we're left with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Step 9:
When dividing 360 by 38, we get 9 with a remainder of 18.
Record the quotient 9 as the next digit in the result. 
Result so far: 15355.789
Subtracting 342 from 360 leaves us with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

On to step 10:
The number 38 fits into 180 4 times, leaving a remainder of 28.
Put 4 as the next digit of the answer. 
Result so far: 15355.7894
Subtract 152 from 180 to get 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Step 11:
The number 38 fits into 280 7 times, leaving a remainder of 14.
Record the quotient 7 as the next digit in the result. 
Result so far: 15355.78947
If we take 266 away from 280, we end up with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Going ahead to step 12:
The number 38 fits into 140 3 times, leaving a remainder of 26.
Put 3 as the next digit of the answer. 
Result so far: 15355.789473
If we subtract 114 from 140, we get 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Step 13:
When dividing 260 by 38, we get 6 with a remainder of 32.
Write down 6 as next digit of the result. 
Result so far: 15355.7894736
If we take 228 away from 260, 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 14:
38 can be fit into 320 8 times, resulting in a remainder of 16.
The number 8 becomes the next digit in our result. 
Result so far: 15355.78947368
Subtract 304 from 320 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.

The quotient of the division is 15355.78947368, and the remainder is 1.6e-08.