We're dividing 690216 by 434 
Let's see how many times 434 fits into 690216.

Advancing to step 1:
The number 434 fits into 6 0 times, leaving a remainder of 6.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 6, we end up with 6.
Take the next digit (9) from the dividend and append it to 6, then repeat: 69 / 434

On to step 2:
434 can be fit into 69 0 times, resulting in a remainder of 69.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 69 leaves us with 69.
Include the next digit (0) from the dividend after 69, then repeat: 690 / 434

Advancing to step 3:
434 can be fit into 690 1 times, resulting in a remainder of 256.
Write down 1 as next digit of the result. 
Result so far: 1.0
Subtracting 434 from 690 leaves us with 256.
Include the next digit (2) from the dividend after 256, then repeat: 2562 / 434

Let's proceed to step 4:
If we divide 2562 by 434, we get 5 and a remainder of 392.
The number 5 becomes the next digit in our result. 
Result so far: 15.0
If we subtract 2170 from 2562, we get 392.
Bring next digit (1) of the dividend behind the 392 and repeat the process: 3921 / 434

Moving on to step 5:
If we divide 3921 by 434, we get 9 and a remainder of 15.
The next digit of our result is 9. 
Result so far: 159.0
If we take 3906 away from 3921, we end up with 15.
Grab the next digit (6) from the dividend, add it to 15, then carry on: 156 / 434

Let's proceed to step 6:
The number 434 fits into 156 0 times, leaving a remainder of 156.
Record the quotient 0 as the next digit in the result. 
Result so far: 1590.0
If we subtract 0 from 156, we get 156.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1560, and continue the process.

Moving on to step 7:
When dividing 1560 by 434, we get 3 with a remainder of 258.
The number 3 becomes the next digit in our result. 
Result so far: 1590.3
Subtract 1302 from 1560 to get 258.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2580, and continue the process.

Step 8:
434 goes into 2580 5 times with a remainder of 410.
Record the quotient 5 as the next digit in the result. 
Result so far: 1590.35
Deduct 2170 from 2580 and we're left with 410.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4100, and continue the process.

Let's proceed to step 9:
If we divide 4100 by 434, we get 9 and a remainder of 194.
Use 9 as the next digit of our solution. 
Result so far: 1590.359
Deduct 3906 from 4100 and we're left with 194.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1940, and continue the process.

Step 10:
434 can be fit into 1940 4 times, resulting in a remainder of 204.
Record the quotient 4 as the next digit in the result. 
Result so far: 1590.3594
Subtracting 1736 from 1940 leaves us with 204.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2040, and continue the process.

Let's proceed to step 11:
434 goes into 2040 4 times with a remainder of 304.
The next digit of our result is 4. 
Result so far: 1590.35944
Deduct 1736 from 2040 and we're left 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.

The final result is 1590.35944 with a remainder of 0.000304.