697342 ÷ 90 
We want to figure out the number of times 697342 can be divided by 90.

Going ahead to step 1:
The number 90 fits into 6 0 times, leaving a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 6 after subtracting 0 from 6.
Take the next digit (9) from the dividend and append it to 6, then repeat: 69 / 90

Moving on to step 2:
When dividing 69 by 90, we get 0 with a remainder of 69.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 69 leaves us with 69.
Bring next digit (7) of the dividend behind the 69 and repeat the process: 697 / 90

Advancing to step 3:
When dividing 697 by 90, we get 7 with a remainder of 67.
Use 7 as the next digit of our solution. 
Result so far: 7.0
The remainder is 67 after subtracting 630 from 697.
Append the next digit (3) from the dividend to 67 and continue with: 673 / 90

Step 4:
90 can be fit into 673 7 times, resulting in a remainder of 43.
Put 7 as the next digit of the answer. 
Result so far: 77.0
If we take 630 away from 673, we end up with 43.
Take the next digit (4) from the dividend and append it to 43, then repeat: 434 / 90

Advancing to step 5:
90 goes into 434 4 times with a remainder of 74.
The number 4 becomes the next digit in our result. 
Result so far: 774.0
The remainder is 74 after subtracting 360 from 434.
Fetch the next digit (2) from the dividend, attach it to 74 and continue: 742 / 90

Advancing to step 6:
The number 90 fits into 742 8 times, leaving a remainder of 22.
Use 8 as the next digit of our solution. 
Result so far: 7748.0
Subtract 720 from 742 to get 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

On to step 7:
When dividing 220 by 90, we get 2 with a remainder of 40.
Use 2 as the next digit of our solution. 
Result so far: 7748.2
If we subtract 180 from 220, we get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

On to step 8:
When dividing 400 by 90, we get 4 with a remainder of 40.
Put 4 as the next digit of the answer. 
Result so far: 7748.24
Deduct 360 from 400 and we're left with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

On to step 9:
90 can be fit into 400 4 times, resulting in a remainder of 40.
Put 4 as the next digit of the answer. 
Result so far: 7748.244
Deduct 360 from 400 and we're left with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

After the division, we end up with 7748.244 and a remainder of 0.004.