673832 ÷ 38 
Our goal is to divide 673832 by 38.

Let's proceed to step 1:
When dividing 6 by 38, we get 0 with a remainder of 6.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 6 and we're left with 6.
Include the next digit (7) from the dividend after 6, then repeat: 67 / 38

Let's proceed to step 2:
When dividing 67 by 38, we get 1 with a remainder of 29.
Write down 1 as next digit of the result. 
Result so far: 1.0
Subtracting 38 from 67 leaves us with 29.
Grab the next digit (3) from the dividend, add it to 29, then carry on: 293 / 38

Step 3:
If we divide 293 by 38, we get 7 and a remainder of 27.
Use 7 as the next digit of our solution. 
Result so far: 17.0
Subtract 266 from 293 to get 27.
Take the next digit (8) from the dividend and append it to 27, then repeat: 278 / 38

Moving on to step 4:
If we divide 278 by 38, we get 7 and a remainder of 12.
Use 7 as the next digit of our solution. 
Result so far: 177.0
If we subtract 266 from 278, we get 12.
Grab the next digit (3) from the dividend, add it to 12, then carry on: 123 / 38

Advancing to step 5:
38 can be fit into 123 3 times, resulting in a remainder of 9.
Record the quotient 3 as the next digit in the result. 
Result so far: 1773.0
Subtract 114 from 123 to get 9.
Append the next digit (2) from the dividend to 9 and continue with: 92 / 38

Advancing to step 6:
38 can be fit into 92 2 times, resulting in a remainder of 16.
Put 2 as the next digit of the answer. 
Result so far: 17732.0
Subtracting 76 from 92 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 7:
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: 17732.4
Subtracting 152 from 160 leaves us with 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 8:
If we divide 80 by 38, we get 2 and a remainder of 4.
The number 2 becomes the next digit in our result. 
Result so far: 17732.42
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.

On to step 9:
If we divide 40 by 38, we get 1 and a remainder of 2.
Record the quotient 1 as the next digit in the result. 
Result so far: 17732.421
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.

Going ahead to step 10:
20 divided by 38 is 0 with a remainder of 20.
Put 0 as the next digit of the answer. 
Result so far: 17732.421
Subtract 0 from 20 to 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.

Moving on to step 11:
If we divide 200 by 38, we get 5 and a remainder of 10.
The next digit of our result is 5. 
Result so far: 17732.42105
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.

On to step 12:
If we divide 100 by 38, we get 2 and a remainder of 24.
The number 2 becomes the next digit in our result. 
Result so far: 17732.421052
Subtract 76 from 100 to get 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 13:
If we divide 240 by 38, we get 6 and a remainder of 12.
The number 6 becomes the next digit in our result. 
Result so far: 17732.4210526
If we subtract 228 from 240, we get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Moving on to step 14:
38 goes into 120 3 times with a remainder of 6.
Record the quotient 3 as the next digit in the result. 
Result so far: 17732.42105263
Subtracting 114 from 120 leaves us 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.

The quotient of the division is 17732.42105263, and the remainder is 6e-09.