We're dividing 741959 by 38 
We want to figure out the number of times 741959 can be divided 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
Deduct 0 from 7 and we're left with 7.
Include the next digit (4) from the dividend after 7, then repeat: 74 / 38

On to step 2:
The number 38 fits into 74 1 times, leaving a remainder of 36.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Deduct 38 from 74 and we're left with 36.
Include the next digit (1) from the dividend after 36, then repeat: 361 / 38

Moving on to step 3:
If we divide 361 by 38, we get 9 and a remainder of 19.
The next digit of our result is 9. 
Result so far: 19.0
The remainder is 19 after subtracting 342 from 361.
Include the next digit (9) from the dividend after 19, then repeat: 199 / 38

Going ahead to step 4:
199 divided by 38 is 5 with a remainder of 9.
The number 5 becomes the next digit in our result. 
Result so far: 195.0
The remainder is 9 after subtracting 190 from 199.
Take the next digit (5) from the dividend and append it to 9, then repeat: 95 / 38

Going ahead to step 5:
If we divide 95 by 38, we get 2 and a remainder of 19.
The next digit of our result is 2. 
Result so far: 1952.0
Deduct 76 from 95 and we're left with 19.
Bring next digit (9) of the dividend behind the 19 and repeat the process: 199 / 38

Moving on to step 6:
38 can be fit into 199 5 times, resulting in a remainder of 9.
The number 5 becomes the next digit in our result. 
Result so far: 19525.0
Deduct 190 from 199 and we're left with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Step 7:
38 goes into 90 2 times with a remainder of 14.
Put 2 as the next digit of the answer. 
Result so far: 19525.2
The remainder is 14 after subtracting 76 from 90.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

On to step 8:
The number 38 fits into 140 3 times, leaving a remainder of 26.
Write down 3 as next digit of the result. 
Result so far: 19525.23
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.

Going ahead to step 9:
The number 38 fits into 260 6 times, leaving a remainder of 32.
Record the quotient 6 as the next digit in the result. 
Result so far: 19525.236
If we take 228 away from 260, we end up 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.

Step 10:
If we divide 320 by 38, we get 8 and a remainder of 16.
The number 8 becomes the next digit in our result. 
Result so far: 19525.2368
Subtracting 304 from 320 leaves us 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.

On to step 11:
When dividing 160 by 38, we get 4 with a remainder of 8.
Put 4 as the next digit of the answer. 
Result so far: 19525.23684
If we subtract 152 from 160, we get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Step 12:
38 can be fit into 80 2 times, resulting in a remainder of 4.
The next digit of our result is 2. 
Result so far: 19525.236842
Deduct 76 from 80 and we're left with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Advancing to step 13:
The number 38 fits into 40 1 times, leaving a remainder of 2.
Use 1 as the next digit of our solution. 
Result so far: 19525.2368421
The remainder is 2 after subtracting 38 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Going ahead to step 14:
When dividing 20 by 38, we get 0 with a remainder of 20.
The next digit of our result is 0. 
Result so far: 19525.2368421
If we subtract 0 from 20, we get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

The final result is 19525.2368421 with a remainder of 2e-08.