73669 ÷ 38 
Let's see how many times 38 fits into 73669.

Going ahead to step 1:
When dividing 7 by 38, we get 0 with a remainder of 7.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 7 and we're left with 7.
Grab the next digit (3) from the dividend, add it to 7, then carry on: 73 / 38

Step 2:
38 goes into 73 1 times with a remainder of 35.
Use 1 as the next digit of our solution. 
Result so far: 1.0
The remainder is 35 after subtracting 38 from 73.
Include the next digit (6) from the dividend after 35, then repeat: 356 / 38

Step 3:
38 goes into 356 9 times with a remainder of 14.
Use 9 as the next digit of our solution. 
Result so far: 19.0
Subtract 342 from 356 to get 14.
Include the next digit (6) from the dividend after 14, then repeat: 146 / 38

Let's proceed to step 4:
The number 38 fits into 146 3 times, leaving a remainder of 32.
Use 3 as the next digit of our solution. 
Result so far: 193.0
Subtracting 114 from 146 leaves us with 32.
Fetch the next digit (9) from the dividend, attach it to 32 and continue: 329 / 38

Moving on to step 5:
38 can be fit into 329 8 times, resulting in a remainder of 25.
The number 8 becomes the next digit in our result. 
Result so far: 1938.0
If we subtract 304 from 329, we get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Moving on to step 6:
When dividing 250 by 38, we get 6 with a remainder of 22.
Write down 6 as next digit of the result. 
Result so far: 1938.6
If we subtract 228 from 250, we get 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Going ahead to step 7:
When dividing 220 by 38, we get 5 with a remainder of 30.
Write down 5 as next digit of the result. 
Result so far: 1938.65
Subtracting 190 from 220 leaves us 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.

Advancing to step 8:
The number 38 fits into 300 7 times, leaving a remainder of 34.
The next digit of our result is 7. 
Result so far: 1938.657
The remainder is 34 after subtracting 266 from 300.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Step 9:
The number 38 fits into 340 8 times, leaving a remainder of 36.
Put 8 as the next digit of the answer. 
Result so far: 1938.6578
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.

Going ahead to step 10:
If we divide 360 by 38, we get 9 and a remainder of 18.
The number 9 becomes the next digit in our result. 
Result so far: 1938.65789
Deduct 342 from 360 and we're left 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.

On to step 11:
38 can be fit into 180 4 times, resulting in a remainder of 28.
Record the quotient 4 as the next digit in the result. 
Result so far: 1938.657894
Subtract 152 from 180 to 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.

Let's proceed to step 12:
If we divide 280 by 38, we get 7 and a remainder of 14.
Record the quotient 7 as the next digit in the result. 
Result so far: 1938.6578947
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.

Advancing to step 13:
140 divided by 38 is 3 with a remainder of 26.
Put 3 as the next digit of the answer. 
Result so far: 1938.65789473
Subtract 114 from 140 to get 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

After the division, we end up with 1938.65789473 and a remainder of 2.6e-08.