We look at the division of 58632006 by 434 
Let's see how many times 434 fits into 58632006.

Going ahead to step 1:
The number 434 fits into 5 0 times, leaving a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Fetch the next digit (8) from the dividend, attach it to 5 and continue: 58 / 434

On to step 2:
When dividing 58 by 434, we get 0 with a remainder of 58.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 58 to get 58.
Include the next digit (6) from the dividend after 58, then repeat: 586 / 434

Step 3:
434 goes into 586 1 times with a remainder of 152.
Put 1 as the next digit of the answer. 
Result so far: 1.0
If we take 434 away from 586, we end up with 152.
Fetch the next digit (3) from the dividend, attach it to 152 and continue: 1523 / 434

Advancing to step 4:
434 goes into 1523 3 times with a remainder of 221.
Put 3 as the next digit of the answer. 
Result so far: 13.0
Deduct 1302 from 1523 and we're left with 221.
Append the next digit (2) from the dividend to 221 and continue with: 2212 / 434

Advancing to step 5:
If we divide 2212 by 434, we get 5 and a remainder of 42.
The next digit of our result is 5. 
Result so far: 135.0
If we take 2170 away from 2212, we end up with 42.
Bring next digit (0) of the dividend behind the 42 and repeat the process: 420 / 434

Step 6:
When dividing 420 by 434, we get 0 with a remainder of 420.
The number 0 becomes the next digit in our result. 
Result so far: 1350.0
Subtracting 0 from 420 leaves us with 420.
Include the next digit (0) from the dividend after 420, then repeat: 4200 / 434

Step 7:
If we divide 4200 by 434, we get 9 and a remainder of 294.
Put 9 as the next digit of the answer. 
Result so far: 13509.0
Subtract 3906 from 4200 to get 294.
Bring next digit (6) of the dividend behind the 294 and repeat the process: 2946 / 434

Advancing to step 8:
2946 divided by 434 is 6 with a remainder of 342.
The number 6 becomes the next digit in our result. 
Result so far: 135096.0
If we subtract 2604 from 2946, we get 342.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3420, and continue the process.

Moving on to step 9:
3420 divided by 434 is 7 with a remainder of 382.
Put 7 as the next digit of the answer. 
Result so far: 135096.7
If we subtract 3038 from 3420, we get 382.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3820, and continue the process.

Going ahead to step 10:
The number 434 fits into 3820 8 times, leaving a remainder of 348.
Record the quotient 8 as the next digit in the result. 
Result so far: 135096.78
Subtract 3472 from 3820 to get 348.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3480, and continue the process.

On to step 11:
434 goes into 3480 8 times with a remainder of 8.
Write down 8 as next digit of the result. 
Result so far: 135096.788
If we subtract 3472 from 3480, we get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

The quotient of the division is 135096.788, and the remainder is 0.0008.