58825101 ÷ 511 
Our goal is to divide 58825101 by 511.

Step 1:
If we divide 5 by 511, we get 0 and a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Append the next digit (8) from the dividend to 5 and continue with: 58 / 511

On to step 2:
If we divide 58 by 511, we get 0 and a remainder of 58.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 58 and we're left with 58.
Grab the next digit (8) from the dividend, add it to 58, then carry on: 588 / 511

Let's proceed to step 3:
511 can be fit into 588 1 times, resulting in a remainder of 77.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Subtract 511 from 588 to get 77.
Append the next digit (2) from the dividend to 77 and continue with: 772 / 511

Step 4:
511 goes into 772 1 times with a remainder of 261.
Record the quotient 1 as the next digit in the result. 
Result so far: 11.0
Subtracting 511 from 772 leaves us with 261.
Append the next digit (5) from the dividend to 261 and continue with: 2615 / 511

Moving on to step 5:
511 can be fit into 2615 5 times, resulting in a remainder of 60.
Record the quotient 5 as the next digit in the result. 
Result so far: 115.0
If we subtract 2555 from 2615, we get 60.
Include the next digit (1) from the dividend after 60, then repeat: 601 / 511

On to step 6:
If we divide 601 by 511, we get 1 and a remainder of 90.
The number 1 becomes the next digit in our result. 
Result so far: 1151.0
The remainder is 90 after subtracting 511 from 601.
Include the next digit (0) from the dividend after 90, then repeat: 900 / 511

Let's proceed to step 7:
511 can be fit into 900 1 times, resulting in a remainder of 389.
Use 1 as the next digit of our solution. 
Result so far: 11511.0
Subtract 511 from 900 to get 389.
Include the next digit (1) from the dividend after 389, then repeat: 3891 / 511

Advancing to step 8:
511 can be fit into 3891 7 times, resulting in a remainder of 314.
Record the quotient 7 as the next digit in the result. 
Result so far: 115117.0
Subtract 3577 from 3891 to get 314.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3140, and continue the process.

Advancing to step 9:
When dividing 3140 by 511, we get 6 with a remainder of 74.
Put 6 as the next digit of the answer. 
Result so far: 115117.6
Subtracting 3066 from 3140 leaves us with 74.
Since there are no more digits in the dividend, we add a zero to the remainder making it 740, and continue the process.

On to step 10:
511 can be fit into 740 1 times, resulting in a remainder of 229.
Put 1 as the next digit of the answer. 
Result so far: 115117.61
The remainder is 229 after subtracting 511 from 740.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2290, and continue the process.

Step 11:
When dividing 2290 by 511, we get 4 with a remainder of 246.
The number 4 becomes the next digit in our result. 
Result so far: 115117.614
If we take 2044 away from 2290, we end up with 246.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2460, and continue the process.

On to step 12:
511 can be fit into 2460 4 times, resulting in a remainder of 416.
The number 4 becomes the next digit in our result. 
Result so far: 115117.6144
The remainder is 416 after subtracting 2044 from 2460.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4160, and continue the process.

The quotient of the division is 115117.6144, and the remainder is 0.00416.