37644001 ÷ 38 
Our goal is to divide 37644001 by 38.

Let's proceed to step 1:
When dividing 3 by 38, we get 0 with a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 3, we get 3.
Take the next digit (7) from the dividend and append it to 3, then repeat: 37 / 38

On to step 2:
37 divided by 38 is 0 with a remainder of 37.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 37, we end up with 37.
Bring next digit (6) of the dividend behind the 37 and repeat the process: 376 / 38

Let's proceed to step 3:
38 goes into 376 9 times with a remainder of 34.
The next digit of our result is 9. 
Result so far: 9.0
If we take 342 away from 376, we end up with 34.
Bring next digit (4) of the dividend behind the 34 and repeat the process: 344 / 38

Going ahead to step 4:
38 can be fit into 344 9 times, resulting in a remainder of 2.
Use 9 as the next digit of our solution. 
Result so far: 99.0
Subtracting 342 from 344 leaves us with 2.
Include the next digit (4) from the dividend after 2, then repeat: 24 / 38

Moving on to step 5:
38 goes into 24 0 times with a remainder of 24.
Record the quotient 0 as the next digit in the result. 
Result so far: 990.0
If we subtract 0 from 24, we get 24.
Append the next digit (0) from the dividend to 24 and continue with: 240 / 38

Moving on to step 6:
240 divided by 38 is 6 with a remainder of 12.
The next digit of our result is 6. 
Result so far: 9906.0
Subtract 228 from 240 to get 12.
Fetch the next digit (0) from the dividend, attach it to 12 and continue: 120 / 38

Going ahead to step 7:
The number 38 fits into 120 3 times, leaving a remainder of 6.
Put 3 as the next digit of the answer. 
Result so far: 99063.0
Subtract 114 from 120 to get 6.
Include the next digit (1) from the dividend after 6, then repeat: 61 / 38

Step 8:
When dividing 61 by 38, we get 1 with a remainder of 23.
Record the quotient 1 as the next digit in the result. 
Result so far: 990631.0
If we subtract 38 from 61, we get 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Going ahead to step 9:
The number 38 fits into 230 6 times, leaving a remainder of 2.
The next digit of our result is 6. 
Result so far: 990631.6
The remainder is 2 after subtracting 228 from 230.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Moving on to step 10:
38 can be fit into 20 0 times, resulting in a remainder of 20.
The next digit of our result is 0. 
Result so far: 990631.6
Subtracting 0 from 20 leaves us 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.

Moving on to step 11:
The number 38 fits into 200 5 times, leaving a remainder of 10.
Record the quotient 5 as the next digit in the result. 
Result so far: 990631.605
The remainder is 10 after subtracting 190 from 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 12:
When dividing 100 by 38, we get 2 with a remainder of 24.
The next digit of our result is 2. 
Result so far: 990631.6052
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.

Moving on to step 13:
When dividing 240 by 38, we get 6 with a remainder of 12.
Put 6 as the next digit of the answer. 
Result so far: 990631.60526
Deduct 228 from 240 and we're left with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Step 14:
The number 38 fits into 120 3 times, leaving a remainder of 6.
The next digit of our result is 3. 
Result so far: 990631.605263
If we take 114 away from 120, we end up 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.

Let's proceed to step 15:
38 can be fit into 60 1 times, resulting in a remainder of 22.
Record the quotient 1 as the next digit in the result. 
Result so far: 990631.6052631
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.

Step 16:
220 divided by 38 is 5 with a remainder of 30.
Use 5 as the next digit of our solution. 
Result so far: 990631.60526315
If we subtract 190 from 220, we get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

After the division, we end up with 990631.60526315 and a remainder of 3e-08.