17541547 divided by 434 
We want to figure out the number of times 17541547 can be divided by 434.

On to step 1:
434 can be fit into 1 0 times, resulting in a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Grab the next digit (7) from the dividend, add it to 1, then carry on: 17 / 434

Going ahead to step 2:
434 can be fit into 17 0 times, resulting in a remainder of 17.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 17, we get 17.
Include the next digit (5) from the dividend after 17, then repeat: 175 / 434

On to step 3:
434 can be fit into 175 0 times, resulting in a remainder of 175.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 175, we get 175.
Grab the next digit (4) from the dividend, add it to 175, then carry on: 1754 / 434

Step 4:
If we divide 1754 by 434, we get 4 and a remainder of 18.
Put 4 as the next digit of the answer. 
Result so far: 4.0
Subtract 1736 from 1754 to get 18.
Include the next digit (1) from the dividend after 18, then repeat: 181 / 434

Moving on to step 5:
434 goes into 181 0 times with a remainder of 181.
Put 0 as the next digit of the answer. 
Result so far: 40.0
Subtracting 0 from 181 leaves us with 181.
Bring next digit (5) of the dividend behind the 181 and repeat the process: 1815 / 434

Step 6:
434 goes into 1815 4 times with a remainder of 79.
The next digit of our result is 4. 
Result so far: 404.0
Deduct 1736 from 1815 and we're left with 79.
Take the next digit (4) from the dividend and append it to 79, then repeat: 794 / 434

On to step 7:
When dividing 794 by 434, we get 1 with a remainder of 360.
Use 1 as the next digit of our solution. 
Result so far: 4041.0
The remainder is 360 after subtracting 434 from 794.
Append the next digit (7) from the dividend to 360 and continue with: 3607 / 434

On to step 8:
434 can be fit into 3607 8 times, resulting in a remainder of 135.
The number 8 becomes the next digit in our result. 
Result so far: 40418.0
Subtract 3472 from 3607 to get 135.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1350, and continue the process.

Moving on to step 9:
434 can be fit into 1350 3 times, resulting in a remainder of 48.
Put 3 as the next digit of the answer. 
Result so far: 40418.3
The remainder is 48 after subtracting 1302 from 1350.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Going ahead to step 10:
The number 434 fits into 480 1 times, leaving a remainder of 46.
Write down 1 as next digit of the result. 
Result so far: 40418.31
The remainder is 46 after subtracting 434 from 480.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

On to step 11:
434 can be fit into 460 1 times, resulting in a remainder of 26.
Record the quotient 1 as the next digit in the result. 
Result so far: 40418.311
Subtracting 434 from 460 leaves us with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

The quotient of the division is 40418.311, and the remainder is 0.0026.