737669 ÷ 19 
We're looking to find how many times 19 goes into 737669.

Let's proceed to step 1:
7 divided by 19 is 0 with a remainder of 7.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 7 after subtracting 0 from 7.
Fetch the next digit (3) from the dividend, attach it to 7 and continue: 73 / 19

Moving on to step 2:
The number 19 fits into 73 3 times, leaving a remainder of 16.
The next digit of our result is 3. 
Result so far: 3.0
Subtract 57 from 73 to get 16.
Grab the next digit (7) from the dividend, add it to 16, then carry on: 167 / 19

Advancing to step 3:
If we divide 167 by 19, we get 8 and a remainder of 15.
The next digit of our result is 8. 
Result so far: 38.0
If we take 152 away from 167, we end up with 15.
Fetch the next digit (6) from the dividend, attach it to 15 and continue: 156 / 19

Step 4:
19 goes into 156 8 times with a remainder of 4.
Write down 8 as next digit of the result. 
Result so far: 388.0
The remainder is 4 after subtracting 152 from 156.
Take the next digit (6) from the dividend and append it to 4, then repeat: 46 / 19

Let's proceed to step 5:
The number 19 fits into 46 2 times, leaving a remainder of 8.
Write down 2 as next digit of the result. 
Result so far: 3882.0
The remainder is 8 after subtracting 38 from 46.
Append the next digit (9) from the dividend to 8 and continue with: 89 / 19

Going ahead to step 6:
The number 19 fits into 89 4 times, leaving a remainder of 13.
Put 4 as the next digit of the answer. 
Result so far: 38824.0
If we subtract 76 from 89, we get 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Let's proceed to step 7:
19 can be fit into 130 6 times, resulting in a remainder of 16.
The number 6 becomes the next digit in our result. 
Result so far: 38824.6
Subtract 114 from 130 to 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.

Advancing to step 8:
When dividing 160 by 19, we get 8 with a remainder of 8.
The number 8 becomes the next digit in our result. 
Result so far: 38824.68
If we subtract 152 from 160, we get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Going ahead to step 9:
The number 19 fits into 80 4 times, leaving a remainder of 4.
The number 4 becomes the next digit in our result. 
Result so far: 38824.684
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.

Step 10:
When dividing 40 by 19, we get 2 with a remainder of 2.
Use 2 as the next digit of our solution. 
Result so far: 38824.6842
Subtract 38 from 40 to get 2.
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 11:
The number 19 fits into 20 1 times, leaving a remainder of 1.
The number 1 becomes the next digit in our result. 
Result so far: 38824.68421
Subtract 19 from 20 to get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Let's proceed to step 12:
19 goes into 10 0 times with a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 38824.68421
Subtract 0 from 10 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Going ahead to step 13:
The number 19 fits into 100 5 times, leaving a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 38824.6842105
Subtract 95 from 100 to get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

On to step 14:
50 divided by 19 is 2 with a remainder of 12.
Record the quotient 2 as the next digit in the result. 
Result so far: 38824.68421052
If we take 38 away from 50, we end up 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.

The final result is 38824.68421052 with a remainder of 1.2e-08.