17689633 ÷ 738 
We're looking to find how many times 738 goes into 17689633.

Advancing to step 1:
1 divided by 738 is 0 with a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Append the next digit (7) from the dividend to 1 and continue with: 17 / 738

Moving on to step 2:
738 can be fit into 17 0 times, resulting in a remainder of 17.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 17, we end up with 17.
Fetch the next digit (6) from the dividend, attach it to 17 and continue: 176 / 738

Advancing to step 3:
176 divided by 738 is 0 with a remainder of 176.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 176 to get 176.
Bring next digit (8) of the dividend behind the 176 and repeat the process: 1768 / 738

Let's proceed to step 4:
738 can be fit into 1768 2 times, resulting in a remainder of 292.
The next digit of our result is 2. 
Result so far: 2.0
If we take 1476 away from 1768, we end up with 292.
Append the next digit (9) from the dividend to 292 and continue with: 2929 / 738

Step 5:
738 goes into 2929 3 times with a remainder of 715.
The number 3 becomes the next digit in our result. 
Result so far: 23.0
Deduct 2214 from 2929 and we're left with 715.
Grab the next digit (6) from the dividend, add it to 715, then carry on: 7156 / 738

On to step 6:
7156 divided by 738 is 9 with a remainder of 514.
Record the quotient 9 as the next digit in the result. 
Result so far: 239.0
Deduct 6642 from 7156 and we're left with 514.
Grab the next digit (3) from the dividend, add it to 514, then carry on: 5143 / 738

Moving on to step 7:
If we divide 5143 by 738, we get 6 and a remainder of 715.
Write down 6 as next digit of the result. 
Result so far: 2396.0
If we take 4428 away from 5143, we end up with 715.
Append the next digit (3) from the dividend to 715 and continue with: 7153 / 738

On to step 8:
738 goes into 7153 9 times with a remainder of 511.
Write down 9 as next digit of the result. 
Result so far: 23969.0
Subtracting 6642 from 7153 leaves us with 511.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5110, and continue the process.

Let's proceed to step 9:
738 goes into 5110 6 times with a remainder of 682.
Put 6 as the next digit of the answer. 
Result so far: 23969.6
If we take 4428 away from 5110, we end up with 682.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6820, and continue the process.

Step 10:
The number 738 fits into 6820 9 times, leaving a remainder of 178.
Put 9 as the next digit of the answer. 
Result so far: 23969.69
If we subtract 6642 from 6820, we get 178.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1780, and continue the process.

Advancing to step 11:
When dividing 1780 by 738, we get 2 with a remainder of 304.
Use 2 as the next digit of our solution. 
Result so far: 23969.692
Subtracting 1476 from 1780 leaves us with 304.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3040, and continue the process.

Moving on to step 12:
738 can be fit into 3040 4 times, resulting in a remainder of 88.
The number 4 becomes the next digit in our result. 
Result so far: 23969.6924
Deduct 2952 from 3040 and we're left with 88.
Since there are no more digits in the dividend, we add a zero to the remainder making it 880, and continue the process.

Going ahead to step 13:
880 divided by 738 is 1 with a remainder of 142.
The number 1 becomes the next digit in our result. 
Result so far: 23969.69241
If we subtract 738 from 880, we get 142.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1420, and continue the process.

Going ahead to step 14:
The number 738 fits into 1420 1 times, leaving a remainder of 682.
Use 1 as the next digit of our solution. 
Result so far: 23969.692411
If we take 738 away from 1420, we end up with 682.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6820, and continue the process.

The final result is 23969.692411 with a remainder of 6.82e-05.