Let's divide 603461 by 38
Let's see how many times 38 fits into 603461.

Step 1:
6 divided by 38 is 0 with a remainder of 6.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 6, we end up with 6.
Append the next digit (0) from the dividend to 6 and continue with: 60 / 38

Advancing to step 2:
If we divide 60 by 38, we get 1 and a remainder of 22.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Deduct 38 from 60 and we're left with 22.
Fetch the next digit (3) from the dividend, attach it to 22 and continue: 223 / 38

Step 3:
The number 38 fits into 223 5 times, leaving a remainder of 33.
Put 5 as the next digit of the answer. 
Result so far: 15.0
Subtract 190 from 223 to get 33.
Fetch the next digit (4) from the dividend, attach it to 33 and continue: 334 / 38

Step 4:
If we divide 334 by 38, we get 8 and a remainder of 30.
Use 8 as the next digit of our solution. 
Result so far: 158.0
Subtracting 304 from 334 leaves us with 30.
Take the next digit (6) from the dividend and append it to 30, then repeat: 306 / 38

Advancing to step 5:
38 goes into 306 8 times with a remainder of 2.
The number 8 becomes the next digit in our result. 
Result so far: 1588.0
The remainder is 2 after subtracting 304 from 306.
Take the next digit (1) from the dividend and append it to 2, then repeat: 21 / 38

On to step 6:
21 divided by 38 is 0 with a remainder of 21.
Record the quotient 0 as the next digit in the result. 
Result so far: 15880.0
Deduct 0 from 21 and we're left with 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Moving on to step 7:
38 goes into 210 5 times with a remainder of 20.
Use 5 as the next digit of our solution. 
Result so far: 15880.5
Subtracting 190 from 210 leaves us 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.

Advancing to step 8:
38 can be fit into 200 5 times, resulting in a remainder of 10.
Record the quotient 5 as the next digit in the result. 
Result so far: 15880.55
Deduct 190 from 200 and we're left with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

The quotient of the division is 15880.55, and the remainder is 0.01.