38602375 ÷ 583 
Our goal is to divide 38602375 by 583.

Advancing to step 1:
583 can be fit into 3 0 times, resulting in a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 3 leaves us with 3.
Include the next digit (8) from the dividend after 3, then repeat: 38 / 583

Moving on to step 2:
If we divide 38 by 583, we get 0 and a remainder of 38.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 38 to get 38.
Bring next digit (6) of the dividend behind the 38 and repeat the process: 386 / 583

On to step 3:
386 divided by 583 is 0 with a remainder of 386.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 386 leaves us with 386.
Take the next digit (0) from the dividend and append it to 386, then repeat: 3860 / 583

Let's proceed to step 4:
583 can be fit into 3860 6 times, resulting in a remainder of 362.
Write down 6 as next digit of the result. 
Result so far: 6.0
If we take 3498 away from 3860, we end up with 362.
Take the next digit (2) from the dividend and append it to 362, then repeat: 3622 / 583

Step 5:
583 goes into 3622 6 times with a remainder of 124.
Use 6 as the next digit of our solution. 
Result so far: 66.0
If we take 3498 away from 3622, we end up with 124.
Bring next digit (3) of the dividend behind the 124 and repeat the process: 1243 / 583

Moving on to step 6:
583 goes into 1243 2 times with a remainder of 77.
Record the quotient 2 as the next digit in the result. 
Result so far: 662.0
Deduct 1166 from 1243 and we're left with 77.
Append the next digit (7) from the dividend to 77 and continue with: 777 / 583

Going ahead to step 7:
583 goes into 777 1 times with a remainder of 194.
Write down 1 as next digit of the result. 
Result so far: 6621.0
The remainder is 194 after subtracting 583 from 777.
Bring next digit (5) of the dividend behind the 194 and repeat the process: 1945 / 583

Moving on to step 8:
1945 divided by 583 is 3 with a remainder of 196.
The number 3 becomes the next digit in our result. 
Result so far: 66213.0
Deduct 1749 from 1945 and we're left with 196.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1960, and continue the process.

Advancing to step 9:
1960 divided by 583 is 3 with a remainder of 211.
Record the quotient 3 as the next digit in the result. 
Result so far: 66213.3
Deduct 1749 from 1960 and we're left with 211.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2110, and continue the process.

On to step 10:
583 can be fit into 2110 3 times, resulting in a remainder of 361.
Record the quotient 3 as the next digit in the result. 
Result so far: 66213.33
If we subtract 1749 from 2110, we get 361.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3610, and continue the process.

The quotient of the division is 66213.33, and the remainder is 0.361.