We divide 1001 by 38
We want to figure out the number of times 1001 can be divided by 38.

Advancing to step 1:
1 divided by 38 is 0 with a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Fetch the next digit (0) from the dividend, attach it to 1 and continue: 10 / 38

Going ahead to step 2:
38 can be fit into 10 0 times, resulting in a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 10 after subtracting 0 from 10.
Grab the next digit (0) from the dividend, add it to 10, then carry on: 100 / 38

Advancing to step 3:
100 divided by 38 is 2 with a remainder of 24.
The next digit of our result is 2. 
Result so far: 2.0
Deduct 76 from 100 and we're left with 24.
Take the next digit (1) from the dividend and append it to 24, then repeat: 241 / 38

Moving on to step 4:
If we divide 241 by 38, we get 6 and a remainder of 13.
Use 6 as the next digit of our solution. 
Result so far: 26.0
The remainder is 13 after subtracting 228 from 241.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Advancing to step 5:
130 divided by 38 is 3 with a remainder of 16.
The next digit of our result is 3. 
Result so far: 26.3
Subtract 114 from 130 to get 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 6:
160 divided by 38 is 4 with a remainder of 8.
Record the quotient 4 as the next digit in the result. 
Result so far: 26.34
Subtract 152 from 160 to 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.

Advancing to step 7:
The number 38 fits into 80 2 times, leaving a remainder of 4.
Record the quotient 2 as the next digit in the result. 
Result so far: 26.342
The remainder is 4 after subtracting 76 from 80.
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 8:
The number 38 fits into 40 1 times, leaving a remainder of 2.
Record the quotient 1 as the next digit in the result. 
Result so far: 26.3421
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.

Let's proceed to step 9:
If we divide 20 by 38, we get 0 and a remainder of 20.
Write down 0 as next digit of the result. 
Result so far: 26.3421
Deduct 0 from 20 and we're left 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 10:
200 divided by 38 is 5 with a remainder of 10.
Use 5 as the next digit of our solution. 
Result so far: 26.342105
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.

Step 11:
When dividing 100 by 38, we get 2 with a remainder of 24.
Record the quotient 2 as the next digit in the result. 
Result so far: 26.3421052
Subtracting 76 from 100 leaves us with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Let's proceed to step 12:
240 divided by 38 is 6 with a remainder of 12.
Put 6 as the next digit of the answer. 
Result so far: 26.34210526
The remainder is 12 after subtracting 228 from 240.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

The final outcome is 26.34210526, with a leftover of 1.2e-08.