Let's divide 737697 by 45
We're looking to find how many times 45 goes into 737697.

Step 1:
45 goes into 7 0 times with a remainder of 7.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 7 to get 7.
Take the next digit (3) from the dividend and append it to 7, then repeat: 73 / 45

Going ahead to step 2:
45 can be fit into 73 1 times, resulting in a remainder of 28.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Subtracting 45 from 73 leaves us with 28.
Include the next digit (7) from the dividend after 28, then repeat: 287 / 45

On to step 3:
If we divide 287 by 45, we get 6 and a remainder of 17.
Record the quotient 6 as the next digit in the result. 
Result so far: 16.0
The remainder is 17 after subtracting 270 from 287.
Bring next digit (6) of the dividend behind the 17 and repeat the process: 176 / 45

Going ahead to step 4:
45 goes into 176 3 times with a remainder of 41.
The next digit of our result is 3. 
Result so far: 163.0
If we take 135 away from 176, we end up with 41.
Take the next digit (9) from the dividend and append it to 41, then repeat: 419 / 45

Advancing to step 5:
When dividing 419 by 45, we get 9 with a remainder of 14.
Record the quotient 9 as the next digit in the result. 
Result so far: 1639.0
If we subtract 405 from 419, we get 14.
Grab the next digit (7) from the dividend, add it to 14, then carry on: 147 / 45

Step 6:
If we divide 147 by 45, we get 3 and a remainder of 12.
Write down 3 as next digit of the result. 
Result so far: 16393.0
Deduct 135 from 147 and we're left 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.

Moving on to step 7:
120 divided by 45 is 2 with a remainder of 30.
Use 2 as the next digit of our solution. 
Result so far: 16393.2
If we subtract 90 from 120, we get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Step 8:
45 goes into 300 6 times with a remainder of 30.
Write down 6 as next digit of the result. 
Result so far: 16393.26
Subtracting 270 from 300 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.

Moving on to step 9:
The number 45 fits into 300 6 times, leaving a remainder of 30.
The number 6 becomes the next digit in our result. 
Result so far: 16393.266
Subtracting 270 from 300 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.

The quotient of the division is 16393.266, and the remainder is 0.003.