We're dividing 71338288 by 434 
Our goal is to divide 71338288 by 434.

Moving on to step 1:
7 divided by 434 is 0 with a remainder of 7.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 7 to get 7.
Grab the next digit (1) from the dividend, add it to 7, then carry on: 71 / 434

Advancing to step 2:
434 goes into 71 0 times with a remainder of 71.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 71, we get 71.
Fetch the next digit (3) from the dividend, attach it to 71 and continue: 713 / 434

Let's proceed to step 3:
If we divide 713 by 434, we get 1 and a remainder of 279.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Deduct 434 from 713 and we're left with 279.
Take the next digit (3) from the dividend and append it to 279, then repeat: 2793 / 434

On to step 4:
434 can be fit into 2793 6 times, resulting in a remainder of 189.
Write down 6 as next digit of the result. 
Result so far: 16.0
Deduct 2604 from 2793 and we're left with 189.
Append the next digit (8) from the dividend to 189 and continue with: 1898 / 434

Moving on to step 5:
1898 divided by 434 is 4 with a remainder of 162.
Write down 4 as next digit of the result. 
Result so far: 164.0
Subtract 1736 from 1898 to get 162.
Grab the next digit (2) from the dividend, add it to 162, then carry on: 1622 / 434

Moving on to step 6:
If we divide 1622 by 434, we get 3 and a remainder of 320.
The number 3 becomes the next digit in our result. 
Result so far: 1643.0
If we take 1302 away from 1622, we end up with 320.
Include the next digit (8) from the dividend after 320, then repeat: 3208 / 434

Step 7:
434 can be fit into 3208 7 times, resulting in a remainder of 170.
The next digit of our result is 7. 
Result so far: 16437.0
If we subtract 3038 from 3208, we get 170.
Take the next digit (8) from the dividend and append it to 170, then repeat: 1708 / 434

Going ahead to step 8:
The number 434 fits into 1708 3 times, leaving a remainder of 406.
The number 3 becomes the next digit in our result. 
Result so far: 164373.0
Subtract 1302 from 1708 to get 406.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4060, and continue the process.

On to step 9:
If we divide 4060 by 434, we get 9 and a remainder of 154.
The next digit of our result is 9. 
Result so far: 164373.9
Subtracting 3906 from 4060 leaves us with 154.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1540, and continue the process.

Going ahead to step 10:
1540 divided by 434 is 3 with a remainder of 238.
Record the quotient 3 as the next digit in the result. 
Result so far: 164373.93
If we subtract 1302 from 1540, we get 238.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2380, and continue the process.

Let's proceed to step 11:
434 can be fit into 2380 5 times, resulting in a remainder of 210.
Put 5 as the next digit of the answer. 
Result so far: 164373.935
Subtracting 2170 from 2380 leaves us with 210.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2100, and continue the process.

Advancing to step 12:
434 can be fit into 2100 4 times, resulting in a remainder of 364.
The next digit of our result is 4. 
Result so far: 164373.9354
Deduct 1736 from 2100 and we're left with 364.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3640, and continue the process.

Moving on to step 13:
The number 434 fits into 3640 8 times, leaving a remainder of 168.
Use 8 as the next digit of our solution. 
Result so far: 164373.93548
If we take 3472 away from 3640, we end up with 168.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1680, and continue the process.

Advancing to step 14:
When dividing 1680 by 434, we get 3 with a remainder of 378.
Write down 3 as next digit of the result. 
Result so far: 164373.935483
Subtracting 1302 from 1680 leaves us with 378.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3780, and continue the process.

Let's proceed to step 15:
When dividing 3780 by 434, we get 8 with a remainder of 308.
The number 8 becomes the next digit in our result. 
Result so far: 164373.9354838
Subtract 3472 from 3780 to get 308.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3080, and continue the process.

Step 16:
434 goes into 3080 7 times with a remainder of 42.
The number 7 becomes the next digit in our result. 
Result so far: 164373.93548387
If we take 3038 away from 3080, we end up with 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

The final result is 164373.93548387 with a remainder of 4.2e-08.