We look at the division of 690501 by 45 
Our goal is to divide 690501 by 45.

Step 1:
When dividing 6 by 45, we get 0 with a remainder of 6.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 6 to get 6.
Grab the next digit (9) from the dividend, add it to 6, then carry on: 69 / 45

Going ahead to step 2:
If we divide 69 by 45, we get 1 and a remainder of 24.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Subtract 45 from 69 to get 24.
Fetch the next digit (0) from the dividend, attach it to 24 and continue: 240 / 45

Step 3:
If we divide 240 by 45, we get 5 and a remainder of 15.
Use 5 as the next digit of our solution. 
Result so far: 15.0
The remainder is 15 after subtracting 225 from 240.
Take the next digit (5) from the dividend and append it to 15, then repeat: 155 / 45

Moving on to step 4:
When dividing 155 by 45, we get 3 with a remainder of 20.
The number 3 becomes the next digit in our result. 
Result so far: 153.0
If we take 135 away from 155, we end up with 20.
Bring next digit (0) of the dividend behind the 20 and repeat the process: 200 / 45

Going ahead to step 5:
The number 45 fits into 200 4 times, leaving a remainder of 20.
Use 4 as the next digit of our solution. 
Result so far: 1534.0
Subtracting 180 from 200 leaves us with 20.
Fetch the next digit (1) from the dividend, attach it to 20 and continue: 201 / 45

Advancing to step 6:
45 can be fit into 201 4 times, resulting in a remainder of 21.
The number 4 becomes the next digit in our result. 
Result so far: 15344.0
Subtracting 180 from 201 leaves us with 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Advancing to step 7:
The number 45 fits into 210 4 times, leaving a remainder of 30.
The number 4 becomes the next digit in our result. 
Result so far: 15344.4
The remainder is 30 after subtracting 180 from 210.
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:
300 divided by 45 is 6 with a remainder of 30.
Use 6 as the next digit of our solution. 
Result so far: 15344.46
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.

Step 9:
If we divide 300 by 45, we get 6 and a remainder of 30.
Put 6 as the next digit of the answer. 
Result so far: 15344.466
If we take 270 away from 300, we end up 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 15344.466, and the remainder is 0.003.