43459598 ÷ 434 
We're looking to find how many times 434 goes into 43459598.

On to step 1:
434 goes into 4 0 times with a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 4 to get 4.
Take the next digit (3) from the dividend and append it to 4, then repeat: 43 / 434

Advancing to step 2:
When dividing 43 by 434, we get 0 with a remainder of 43.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 43 to get 43.
Fetch the next digit (4) from the dividend, attach it to 43 and continue: 434 / 434

Step 3:
The number 434 fits into 434 1 times, leaving a remainder of 0.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Deduct 434 from 434 and we're left with 0.
Grab the next digit (5) from the dividend, add it to 0, then carry on: 5 / 434

Advancing to step 4:
If we divide 5 by 434, we get 0 and a remainder of 5.
Put 0 as the next digit of the answer. 
Result so far: 10.0
Deduct 0 from 5 and we're left with 5.
Fetch the next digit (9) from the dividend, attach it to 5 and continue: 59 / 434

Advancing to step 5:
The number 434 fits into 59 0 times, leaving a remainder of 59.
Write down 0 as next digit of the result. 
Result so far: 100.0
Subtracting 0 from 59 leaves us with 59.
Append the next digit (5) from the dividend to 59 and continue with: 595 / 434

Going ahead to step 6:
If we divide 595 by 434, we get 1 and a remainder of 161.
The number 1 becomes the next digit in our result. 
Result so far: 1001.0
Subtract 434 from 595 to get 161.
Take the next digit (9) from the dividend and append it to 161, then repeat: 1619 / 434

Step 7:
When dividing 1619 by 434, we get 3 with a remainder of 317.
The number 3 becomes the next digit in our result. 
Result so far: 10013.0
If we subtract 1302 from 1619, we get 317.
Include the next digit (8) from the dividend after 317, then repeat: 3178 / 434

On to step 8:
If we divide 3178 by 434, we get 7 and a remainder of 140.
Use 7 as the next digit of our solution. 
Result so far: 100137.0
If we take 3038 away from 3178, we end up with 140.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1400, and continue the process.

Advancing to step 9:
When dividing 1400 by 434, we get 3 with a remainder of 98.
The next digit of our result is 3. 
Result so far: 100137.3
If we take 1302 away from 1400, we end up with 98.
Since there are no more digits in the dividend, we add a zero to the remainder making it 980, and continue the process.

On to step 10:
The number 434 fits into 980 2 times, leaving a remainder of 112.
The number 2 becomes the next digit in our result. 
Result so far: 100137.32
The remainder is 112 after subtracting 868 from 980.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1120, and continue the process.

On to step 11:
1120 divided by 434 is 2 with a remainder of 252.
Record the quotient 2 as the next digit in the result. 
Result so far: 100137.322
Deduct 868 from 1120 and we're left with 252.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2520, and continue the process.

The final result is 100137.322 with a remainder of 0.0252.