659641 divided by 38 
We're looking to find how many times 38 goes into 659641.

Advancing to step 1:
38 can be fit into 6 0 times, resulting in a remainder of 6.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 6, we end up with 6.
Fetch the next digit (5) from the dividend, attach it to 6 and continue: 65 / 38

On to step 2:
38 goes into 65 1 times with a remainder of 27.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Deduct 38 from 65 and we're left with 27.
Include the next digit (9) from the dividend after 27, then repeat: 279 / 38

Advancing to step 3:
When dividing 279 by 38, we get 7 with a remainder of 13.
Write down 7 as next digit of the result. 
Result so far: 17.0
The remainder is 13 after subtracting 266 from 279.
Bring next digit (6) of the dividend behind the 13 and repeat the process: 136 / 38

On to step 4:
The number 38 fits into 136 3 times, leaving a remainder of 22.
The next digit of our result is 3. 
Result so far: 173.0
If we subtract 114 from 136, we get 22.
Bring next digit (4) of the dividend behind the 22 and repeat the process: 224 / 38

Moving on to step 5:
If we divide 224 by 38, we get 5 and a remainder of 34.
The next digit of our result is 5. 
Result so far: 1735.0
Subtracting 190 from 224 leaves us with 34.
Take the next digit (1) from the dividend and append it to 34, then repeat: 341 / 38

On to step 6:
If we divide 341 by 38, we get 8 and a remainder of 37.
Use 8 as the next digit of our solution. 
Result so far: 17358.0
If we take 304 away from 341, we end up with 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

Moving on to step 7:
When dividing 370 by 38, we get 9 with a remainder of 28.
Put 9 as the next digit of the answer. 
Result so far: 17358.9
If we take 342 away from 370, 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.

Advancing to step 8:
38 goes into 280 7 times with a remainder of 14.
Record the quotient 7 as the next digit in the result. 
Result so far: 17358.97
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.

On to step 9:
When dividing 140 by 38, we get 3 with a remainder of 26.
Put 3 as the next digit of the answer. 
Result so far: 17358.973
If we take 114 away from 140, we end up 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:
260 divided by 38 is 6 with a remainder of 32.
Record the quotient 6 as the next digit in the result. 
Result so far: 17358.9736
If we subtract 228 from 260, we 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.

Moving on to step 11:
38 can be fit into 320 8 times, resulting in a remainder of 16.
The number 8 becomes the next digit in our result. 
Result so far: 17358.97368
If we subtract 304 from 320, we 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.

Going ahead to step 12:
The number 38 fits into 160 4 times, leaving a remainder of 8.
Use 4 as the next digit of our solution. 
Result so far: 17358.973684
The remainder is 8 after subtracting 152 from 160.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Moving on to step 13:
The number 38 fits into 80 2 times, leaving a remainder of 4.
Put 2 as the next digit of the answer. 
Result so far: 17358.9736842
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.

Let's proceed to step 14:
When dividing 40 by 38, we get 1 with a remainder of 2.
Use 1 as the next digit of our solution. 
Result so far: 17358.97368421
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.

After the division, we end up with 17358.97368421 and a remainder of 2e-09.