We divide 434306 by 53
We want to divide 434306 by 53.

Let's proceed to step 1:
4 divided by 53 is 0 with a remainder of 4.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 4 to get 4.
Grab the next digit (3) from the dividend, add it to 4, then carry on: 43 / 53

Going ahead to step 2:
When dividing 43 by 53, we get 0 with a remainder of 43.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 43, we get 43.
Bring next digit (4) of the dividend behind the 43 and repeat the process: 434 / 53

Step 3:
434 divided by 53 is 8 with a remainder of 10.
Put 8 as the next digit of the answer. 
Result so far: 8.0
The remainder is 10 after subtracting 424 from 434.
Bring next digit (3) of the dividend behind the 10 and repeat the process: 103 / 53

Going ahead to step 4:
If we divide 103 by 53, we get 1 and a remainder of 50.
The next digit of our result is 1. 
Result so far: 81.0
Deduct 53 from 103 and we're left with 50.
Include the next digit (0) from the dividend after 50, then repeat: 500 / 53

Advancing to step 5:
The number 53 fits into 500 9 times, leaving a remainder of 23.
Put 9 as the next digit of the answer. 
Result so far: 819.0
Subtract 477 from 500 to get 23.
Bring next digit (6) of the dividend behind the 23 and repeat the process: 236 / 53

On to step 6:
When dividing 236 by 53, we get 4 with a remainder of 24.
Use 4 as the next digit of our solution. 
Result so far: 8194.0
Deduct 212 from 236 and we're left with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Step 7:
53 can be fit into 240 4 times, resulting in a remainder of 28.
Put 4 as the next digit of the answer. 
Result so far: 8194.4
If we subtract 212 from 240, we get 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Step 8:
When dividing 280 by 53, we get 5 with a remainder of 15.
Record the quotient 5 as the next digit in the result. 
Result so far: 8194.45
Subtracting 265 from 280 leaves us with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Going ahead to step 9:
53 goes into 150 2 times with a remainder of 44.
Write down 2 as next digit of the result. 
Result so far: 8194.452
Subtract 106 from 150 to get 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Moving on to step 10:
53 can be fit into 440 8 times, resulting in a remainder of 16.
Use 8 as the next digit of our solution. 
Result so far: 8194.4528
The remainder is 16 after subtracting 424 from 440.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Going ahead to step 11:
The number 53 fits into 160 3 times, leaving a remainder of 1.
Write down 3 as next digit of the result. 
Result so far: 8194.45283
Subtracting 159 from 160 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 12:
53 goes into 10 0 times with a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 8194.45283
Subtracting 0 from 10 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

On to step 13:
53 goes into 100 1 times with a remainder of 47.
Use 1 as the next digit of our solution. 
Result so far: 8194.4528301
The remainder is 47 after subtracting 53 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 470, and continue the process.

Advancing to step 14:
470 divided by 53 is 8 with a remainder of 46.
The next digit of our result is 8. 
Result so far: 8194.45283018
Subtracting 424 from 470 leaves us with 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

After the division, we end up with 8194.45283018 and a remainder of 4.6e-08.