We're dividing 746266 by 38 
We're looking to find how many times 38 goes into 746266.

Advancing to step 1:
The number 38 fits into 7 0 times, leaving a remainder of 7.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 7 to get 7.
Grab the next digit (4) from the dividend, add it to 7, then carry on: 74 / 38

Moving on to step 2:
The number 38 fits into 74 1 times, leaving a remainder of 36.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
The remainder is 36 after subtracting 38 from 74.
Bring next digit (6) of the dividend behind the 36 and repeat the process: 366 / 38

Moving on to step 3:
38 can be fit into 366 9 times, resulting in a remainder of 24.
The next digit of our result is 9. 
Result so far: 19.0
If we subtract 342 from 366, we get 24.
Bring next digit (2) of the dividend behind the 24 and repeat the process: 242 / 38

Let's proceed to step 4:
The number 38 fits into 242 6 times, leaving a remainder of 14.
The number 6 becomes the next digit in our result. 
Result so far: 196.0
The remainder is 14 after subtracting 228 from 242.
Grab the next digit (6) from the dividend, add it to 14, then carry on: 146 / 38

Moving on to step 5:
When dividing 146 by 38, we get 3 with a remainder of 32.
Write down 3 as next digit of the result. 
Result so far: 1963.0
Subtract 114 from 146 to get 32.
Fetch the next digit (6) from the dividend, attach it to 32 and continue: 326 / 38

Moving on to step 6:
38 can be fit into 326 8 times, resulting in a remainder of 22.
Put 8 as the next digit of the answer. 
Result so far: 19638.0
Deduct 304 from 326 and we're left 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.

Moving on to step 7:
220 divided by 38 is 5 with a remainder of 30.
Write down 5 as next digit of the result. 
Result so far: 19638.5
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.

Advancing to step 8:
If we divide 300 by 38, we get 7 and a remainder of 34.
Put 7 as the next digit of the answer. 
Result so far: 19638.57
Subtract 266 from 300 to 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.

Step 9:
The number 38 fits into 340 8 times, leaving a remainder of 36.
Put 8 as the next digit of the answer. 
Result so far: 19638.578
Subtracting 304 from 340 leaves us 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 10:
38 can be fit into 360 9 times, resulting in a remainder of 18.
The next digit of our result is 9. 
Result so far: 19638.5789
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.

Moving on to step 11:
If we divide 180 by 38, we get 4 and a remainder of 28.
Use 4 as the next digit of our solution. 
Result so far: 19638.57894
If we take 152 away from 180, we end up with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

On to step 12:
When dividing 280 by 38, we get 7 with a remainder of 14.
Put 7 as the next digit of the answer. 
Result so far: 19638.578947
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.

Step 13:
When dividing 140 by 38, we get 3 with a remainder of 26.
Record the quotient 3 as the next digit in the result. 
Result so far: 19638.5789473
The remainder is 26 after subtracting 114 from 140.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Advancing to step 14:
If we divide 260 by 38, we get 6 and a remainder of 32.
Use 6 as the next digit of our solution. 
Result so far: 19638.57894736
Deduct 228 from 260 and we're left 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.

Our division results in 19638.57894736 with a remaining 3.2e-08.