34419416 ÷ 531 
Let's see how many times 531 fits into 34419416.

Advancing to step 1:
The number 531 fits into 3 0 times, leaving a remainder of 3.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 3 leaves us with 3.
Take the next digit (4) from the dividend and append it to 3, then repeat: 34 / 531

On to step 2:
The number 531 fits into 34 0 times, leaving a remainder of 34.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 34 leaves us with 34.
Fetch the next digit (4) from the dividend, attach it to 34 and continue: 344 / 531

Going ahead to step 3:
If we divide 344 by 531, we get 0 and a remainder of 344.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 344 to get 344.
Take the next digit (1) from the dividend and append it to 344, then repeat: 3441 / 531

On to step 4:
531 goes into 3441 6 times with a remainder of 255.
The next digit of our result is 6. 
Result so far: 6.0
If we subtract 3186 from 3441, we get 255.
Append the next digit (9) from the dividend to 255 and continue with: 2559 / 531

Step 5:
531 can be fit into 2559 4 times, resulting in a remainder of 435.
Put 4 as the next digit of the answer. 
Result so far: 64.0
Subtracting 2124 from 2559 leaves us with 435.
Append the next digit (4) from the dividend to 435 and continue with: 4354 / 531

Step 6:
When dividing 4354 by 531, we get 8 with a remainder of 106.
The next digit of our result is 8. 
Result so far: 648.0
Subtracting 4248 from 4354 leaves us with 106.
Fetch the next digit (1) from the dividend, attach it to 106 and continue: 1061 / 531

Advancing to step 7:
531 can be fit into 1061 1 times, resulting in a remainder of 530.
Write down 1 as next digit of the result. 
Result so far: 6481.0
Deduct 531 from 1061 and we're left with 530.
Append the next digit (6) from the dividend to 530 and continue with: 5306 / 531

Going ahead to step 8:
If we divide 5306 by 531, we get 9 and a remainder of 527.
The number 9 becomes the next digit in our result. 
Result so far: 64819.0
Deduct 4779 from 5306 and we're left with 527.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5270, and continue the process.

Let's proceed to step 9:
531 can be fit into 5270 9 times, resulting in a remainder of 491.
Record the quotient 9 as the next digit in the result. 
Result so far: 64819.9
If we take 4779 away from 5270, we end up with 491.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4910, and continue the process.

On to step 10:
The number 531 fits into 4910 9 times, leaving a remainder of 131.
Write down 9 as next digit of the result. 
Result so far: 64819.99
If we take 4779 away from 4910, we end up with 131.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1310, and continue the process.

The quotient of the division is 64819.99, and the remainder is 0.131.