We're dividing 642611 by 38 
Let's see how many times 38 fits into 642611.

Step 1:
If we divide 6 by 38, we get 0 and a remainder of 6.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 6 leaves us with 6.
Fetch the next digit (4) from the dividend, attach it to 6 and continue: 64 / 38

Let's proceed to step 2:
38 goes into 64 1 times with a remainder of 26.
Write down 1 as next digit of the result. 
Result so far: 1.0
If we take 38 away from 64, we end up with 26.
Grab the next digit (2) from the dividend, add it to 26, then carry on: 262 / 38

Moving on to step 3:
The number 38 fits into 262 6 times, leaving a remainder of 34.
Write down 6 as next digit of the result. 
Result so far: 16.0
Deduct 228 from 262 and we're left with 34.
Grab the next digit (6) from the dividend, add it to 34, then carry on: 346 / 38

Step 4:
346 divided by 38 is 9 with a remainder of 4.
Use 9 as the next digit of our solution. 
Result so far: 169.0
Deduct 342 from 346 and we're left with 4.
Grab the next digit (1) from the dividend, add it to 4, then carry on: 41 / 38

Step 5:
38 can be fit into 41 1 times, resulting in a remainder of 3.
Put 1 as the next digit of the answer. 
Result so far: 1691.0
Subtract 38 from 41 to get 3.
Fetch the next digit (1) from the dividend, attach it to 3 and continue: 31 / 38

Moving on to step 6:
The number 38 fits into 31 0 times, leaving a remainder of 31.
The next digit of our result is 0. 
Result so far: 16910.0
Deduct 0 from 31 and we're left with 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Let's proceed to step 7:
When dividing 310 by 38, we get 8 with a remainder of 6.
The next digit of our result is 8. 
Result so far: 16910.8
Subtract 304 from 310 to get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Going ahead to step 8:
The number 38 fits into 60 1 times, leaving a remainder of 22.
The number 1 becomes the next digit in our result. 
Result so far: 16910.81
The remainder is 22 after subtracting 38 from 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

On to step 9:
38 can be fit into 220 5 times, resulting in a remainder of 30.
The next digit of our result is 5. 
Result so far: 16910.815
If we take 190 away from 220, we end up with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Let's proceed to step 10:
When dividing 300 by 38, we get 7 with a remainder of 34.
The next digit of our result is 7. 
Result so far: 16910.8157
If we take 266 away from 300, we end up with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

On to step 11:
340 divided by 38 is 8 with a remainder of 36.
Put 8 as the next digit of the answer. 
Result so far: 16910.81578
If we take 304 away from 340, we end up with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Let's proceed to step 12:
38 can be fit into 360 9 times, resulting in a remainder of 18.
The next digit of our result is 9. 
Result so far: 16910.815789
Subtracting 342 from 360 leaves us 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.

Step 13:
38 goes into 180 4 times with a remainder of 28.
Write down 4 as next digit of the result. 
Result so far: 16910.8157894
If we subtract 152 from 180, we 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.

Moving on to step 14:
38 can be fit into 280 7 times, resulting in a remainder of 14.
The number 7 becomes the next digit in our result. 
Result so far: 16910.81578947
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.

The quotient of the division is 16910.81578947, and the remainder is 1.4e-08.