We divide 697661 by 45
We're looking to find how many times 45 goes into 697661.

Step 1:
When dividing 6 by 45, we get 0 with a remainder of 6.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 6, we get 6.
Fetch the next digit (9) from the dividend, attach it to 6 and continue: 69 / 45

Advancing to step 2:
If we divide 69 by 45, we get 1 and a remainder of 24.
The next digit of our result is 1. 
Result so far: 1.0
If we take 45 away from 69, we end up with 24.
Include the next digit (7) from the dividend after 24, then repeat: 247 / 45

Moving on to step 3:
45 can be fit into 247 5 times, resulting in a remainder of 22.
Use 5 as the next digit of our solution. 
Result so far: 15.0
Subtracting 225 from 247 leaves us with 22.
Fetch the next digit (6) from the dividend, attach it to 22 and continue: 226 / 45

On to step 4:
The number 45 fits into 226 5 times, leaving a remainder of 1.
Put 5 as the next digit of the answer. 
Result so far: 155.0
If we subtract 225 from 226, we get 1.
Append the next digit (6) from the dividend to 1 and continue with: 16 / 45

Let's proceed to step 5:
If we divide 16 by 45, we get 0 and a remainder of 16.
Put 0 as the next digit of the answer. 
Result so far: 1550.0
Deduct 0 from 16 and we're left with 16.
Take the next digit (1) from the dividend and append it to 16, then repeat: 161 / 45

Let's proceed to step 6:
If we divide 161 by 45, we get 3 and a remainder of 26.
Put 3 as the next digit of the answer. 
Result so far: 15503.0
If we take 135 away from 161, we end up with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Advancing to step 7:
260 divided by 45 is 5 with a remainder of 35.
Record the quotient 5 as the next digit in the result. 
Result so far: 15503.5
If we take 225 away from 260, we end up with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

On to step 8:
The number 45 fits into 350 7 times, leaving a remainder of 35.
Record the quotient 7 as the next digit in the result. 
Result so far: 15503.57
Subtract 315 from 350 to get 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Moving on to step 9:
45 can be fit into 350 7 times, resulting in a remainder of 35.
The next digit of our result is 7. 
Result so far: 15503.577
If we subtract 315 from 350, we get 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Our division results in 15503.577 with a remaining 0.0035.