We're dividing 435790 by 69 
Let's see how many times 69 fits into 435790.

Step 1:
The number 69 fits into 4 0 times, leaving a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 4 and we're left with 4.
Grab the next digit (3) from the dividend, add it to 4, then carry on: 43 / 69

Moving on to step 2:
If we divide 43 by 69, we get 0 and a remainder of 43.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 43, we end up with 43.
Take the next digit (5) from the dividend and append it to 43, then repeat: 435 / 69

Going ahead to step 3:
If we divide 435 by 69, we get 6 and a remainder of 21.
The number 6 becomes the next digit in our result. 
Result so far: 6.0
If we subtract 414 from 435, we get 21.
Bring next digit (7) of the dividend behind the 21 and repeat the process: 217 / 69

Advancing to step 4:
The number 69 fits into 217 3 times, leaving a remainder of 10.
Use 3 as the next digit of our solution. 
Result so far: 63.0
If we take 207 away from 217, we end up with 10.
Append the next digit (9) from the dividend to 10 and continue with: 109 / 69

Step 5:
When dividing 109 by 69, we get 1 with a remainder of 40.
The number 1 becomes the next digit in our result. 
Result so far: 631.0
Subtract 69 from 109 to get 40.
Include the next digit (0) from the dividend after 40, then repeat: 400 / 69

Step 6:
When dividing 400 by 69, we get 5 with a remainder of 55.
The number 5 becomes the next digit in our result. 
Result so far: 6315.0
If we subtract 345 from 400, we get 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

On to step 7:
550 divided by 69 is 7 with a remainder of 67.
Use 7 as the next digit of our solution. 
Result so far: 6315.7
If we take 483 away from 550, we end up with 67.
Since there are no more digits in the dividend, we add a zero to the remainder making it 670, and continue the process.

Let's proceed to step 8:
When dividing 670 by 69, we get 9 with a remainder of 49.
Record the quotient 9 as the next digit in the result. 
Result so far: 6315.79
Subtracting 621 from 670 leaves us with 49.
Since there are no more digits in the dividend, we add a zero to the remainder making it 490, and continue the process.

On to step 9:
The number 69 fits into 490 7 times, leaving a remainder of 7.
The next digit of our result is 7. 
Result so far: 6315.797
Subtracting 483 from 490 leaves us with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

On to step 10:
The number 69 fits into 70 1 times, leaving a remainder of 1.
Record the quotient 1 as the next digit in the result. 
Result so far: 6315.7971
Subtracting 69 from 70 leaves us with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Advancing to step 11:
The number 69 fits into 10 0 times, leaving a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 6315.7971
If we subtract 0 from 10, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Advancing to step 12:
69 goes into 100 1 times with a remainder of 31.
Put 1 as the next digit of the answer. 
Result so far: 6315.797101
If we take 69 away from 100, we end up with 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

On to step 13:
The number 69 fits into 310 4 times, leaving a remainder of 34.
Write down 4 as next digit of the result. 
Result so far: 6315.7971014
If we subtract 276 from 310, we get 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Moving on to step 14:
69 can be fit into 340 4 times, resulting in a remainder of 64.
Record the quotient 4 as the next digit in the result. 
Result so far: 6315.79710144
Subtract 276 from 340 to get 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

Our division results in 6315.79710144 with a remaining 6.4e-08.