Let's divide 75586076 by 906
Our goal is to divide 75586076 by 906.

Advancing to step 1:
906 goes into 7 0 times with a remainder of 7.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 7, we end up with 7.
Include the next digit (5) from the dividend after 7, then repeat: 75 / 906

Advancing to step 2:
The number 906 fits into 75 0 times, leaving a remainder of 75.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 75, we get 75.
Include the next digit (5) from the dividend after 75, then repeat: 755 / 906

On to step 3:
When dividing 755 by 906, we get 0 with a remainder of 755.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 755, we get 755.
Take the next digit (8) from the dividend and append it to 755, then repeat: 7558 / 906

On to step 4:
906 can be fit into 7558 8 times, resulting in a remainder of 310.
Record the quotient 8 as the next digit in the result. 
Result so far: 8.0
If we take 7248 away from 7558, we end up with 310.
Append the next digit (6) from the dividend to 310 and continue with: 3106 / 906

Advancing to step 5:
When dividing 3106 by 906, we get 3 with a remainder of 388.
The number 3 becomes the next digit in our result. 
Result so far: 83.0
The remainder is 388 after subtracting 2718 from 3106.
Fetch the next digit (0) from the dividend, attach it to 388 and continue: 3880 / 906

On to step 6:
3880 divided by 906 is 4 with a remainder of 256.
The number 4 becomes the next digit in our result. 
Result so far: 834.0
If we take 3624 away from 3880, we end up with 256.
Fetch the next digit (7) from the dividend, attach it to 256 and continue: 2567 / 906

Let's proceed to step 7:
The number 906 fits into 2567 2 times, leaving a remainder of 755.
The number 2 becomes the next digit in our result. 
Result so far: 8342.0
Subtracting 1812 from 2567 leaves us with 755.
Fetch the next digit (6) from the dividend, attach it to 755 and continue: 7556 / 906

Moving on to step 8:
906 can be fit into 7556 8 times, resulting in a remainder of 308.
The number 8 becomes the next digit in our result. 
Result so far: 83428.0
Deduct 7248 from 7556 and we're left with 308.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3080, and continue the process.

Advancing to step 9:
906 goes into 3080 3 times with a remainder of 362.
Write down 3 as next digit of the result. 
Result so far: 83428.3
The remainder is 362 after subtracting 2718 from 3080.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3620, and continue the process.

Let's proceed to step 10:
906 can be fit into 3620 3 times, resulting in a remainder of 902.
Put 3 as the next digit of the answer. 
Result so far: 83428.33
If we take 2718 away from 3620, we end up with 902.
Since there are no more digits in the dividend, we add a zero to the remainder making it 9020, and continue the process.

The final outcome is 83428.33, with a leftover of 0.902.