633314 ÷ 38 
We're looking to find how many times 38 goes into 633314.

Let's proceed to step 1:
38 goes into 6 0 times with a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 6 leaves us with 6.
Fetch the next digit (3) from the dividend, attach it to 6 and continue: 63 / 38

On to step 2:
When dividing 63 by 38, we get 1 with a remainder of 25.
Write down 1 as next digit of the result. 
Result so far: 1.0
If we take 38 away from 63, we end up with 25.
Bring next digit (3) of the dividend behind the 25 and repeat the process: 253 / 38

Moving on to step 3:
38 goes into 253 6 times with a remainder of 25.
Put 6 as the next digit of the answer. 
Result so far: 16.0
Subtracting 228 from 253 leaves us with 25.
Bring next digit (3) of the dividend behind the 25 and repeat the process: 253 / 38

On to step 4:
38 goes into 253 6 times with a remainder of 25.
Record the quotient 6 as the next digit in the result. 
Result so far: 166.0
Subtract 228 from 253 to get 25.
Fetch the next digit (1) from the dividend, attach it to 25 and continue: 251 / 38

On to step 5:
The number 38 fits into 251 6 times, leaving a remainder of 23.
Put 6 as the next digit of the answer. 
Result so far: 1666.0
Subtract 228 from 251 to get 23.
Grab the next digit (4) from the dividend, add it to 23, then carry on: 234 / 38

Going ahead to step 6:
If we divide 234 by 38, we get 6 and a remainder of 6.
The next digit of our result is 6. 
Result so far: 16666.0
Subtracting 228 from 234 leaves us with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

On to step 7:
38 can be fit into 60 1 times, resulting in a remainder of 22.
Write down 1 as next digit of the result. 
Result so far: 16666.1
Subtracting 38 from 60 leaves us with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Going ahead to step 8:
The number 38 fits into 220 5 times, leaving a remainder of 30.
Put 5 as the next digit of the answer. 
Result so far: 16666.15
If we take 190 away from 220, we end up 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 9:
38 goes into 300 7 times with a remainder of 34.
Write down 7 as next digit of the result. 
Result so far: 16666.157
If we subtract 266 from 300, we get 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Going ahead to step 10:
38 goes into 340 8 times with a remainder of 36.
Put 8 as the next digit of the answer. 
Result so far: 16666.1578
Subtract 304 from 340 to get 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Advancing to step 11:
When dividing 360 by 38, we get 9 with a remainder of 18.
The number 9 becomes the next digit in our result. 
Result so far: 16666.15789
Subtract 342 from 360 to get 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 12:
The number 38 fits into 180 4 times, leaving a remainder of 28.
Record the quotient 4 as the next digit in the result. 
Result so far: 16666.157894
If we subtract 152 from 180, we 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 13:
When dividing 280 by 38, we get 7 with a remainder of 14.
Record the quotient 7 as the next digit in the result. 
Result so far: 16666.1578947
If we subtract 266 from 280, we get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Moving on to step 14:
38 can be fit into 140 3 times, resulting in a remainder of 26.
Record the quotient 3 as the next digit in the result. 
Result so far: 16666.15789473
Subtract 114 from 140 to 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.

The quotient of the division is 16666.15789473, and the remainder is 2.6e-08.