753406 ÷ 38 
Our goal is to divide 753406 by 38.

Advancing to step 1:
38 can be fit into 7 0 times, resulting in a remainder of 7.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 7 after subtracting 0 from 7.
Append the next digit (5) from the dividend to 7 and continue with: 75 / 38

Going ahead to step 2:
75 divided by 38 is 1 with a remainder of 37.
The next digit of our result is 1. 
Result so far: 1.0
If we subtract 38 from 75, we get 37.
Include the next digit (3) from the dividend after 37, then repeat: 373 / 38

Let's proceed to step 3:
38 goes into 373 9 times with a remainder of 31.
Record the quotient 9 as the next digit in the result. 
Result so far: 19.0
Deduct 342 from 373 and we're left with 31.
Bring next digit (4) of the dividend behind the 31 and repeat the process: 314 / 38

Let's proceed to step 4:
38 can be fit into 314 8 times, resulting in a remainder of 10.
The number 8 becomes the next digit in our result. 
Result so far: 198.0
Deduct 304 from 314 and we're left with 10.
Append the next digit (0) from the dividend to 10 and continue with: 100 / 38

Step 5:
If we divide 100 by 38, we get 2 and a remainder of 24.
Record the quotient 2 as the next digit in the result. 
Result so far: 1982.0
If we subtract 76 from 100, we get 24.
Take the next digit (6) from the dividend and append it to 24, then repeat: 246 / 38

Advancing to step 6:
When dividing 246 by 38, we get 6 with a remainder of 18.
The next digit of our result is 6. 
Result so far: 19826.0
Deduct 228 from 246 and we're left 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.

Moving on to step 7:
180 divided by 38 is 4 with a remainder of 28.
The number 4 becomes the next digit in our result. 
Result so far: 19826.4
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.

On to step 8:
If we divide 280 by 38, we get 7 and a remainder of 14.
Record the quotient 7 as the next digit in the result. 
Result so far: 19826.47
Deduct 266 from 280 and we're left 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 9:
The number 38 fits into 140 3 times, leaving a remainder of 26.
Use 3 as the next digit of our solution. 
Result so far: 19826.473
Deduct 114 from 140 and we're left with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Let's proceed to step 10:
38 goes into 260 6 times with a remainder of 32.
Record the quotient 6 as the next digit in the result. 
Result so far: 19826.4736
Subtract 228 from 260 to get 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

On to step 11:
If we divide 320 by 38, we get 8 and a remainder of 16.
Use 8 as the next digit of our solution. 
Result so far: 19826.47368
Deduct 304 from 320 and we're left with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Step 12:
38 goes into 160 4 times with a remainder of 8.
The next digit of our result is 4. 
Result so far: 19826.473684
Subtracting 152 from 160 leaves us with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

On to step 13:
38 goes into 80 2 times with a remainder of 4.
The next digit of our result is 2. 
Result so far: 19826.4736842
If we subtract 76 from 80, we get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Moving on to step 14:
The number 38 fits into 40 1 times, leaving a remainder of 2.
The next digit of our result is 1. 
Result so far: 19826.47368421
If we take 38 away from 40, we end up with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Our division results in 19826.47368421 with a remaining 2e-09.