509379 ÷ 59 
We want to divide 509379 by 59.

On to step 1:
59 can be fit into 5 0 times, resulting in a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 5 leaves us with 5.
Include the next digit (0) from the dividend after 5, then repeat: 50 / 59

Advancing to step 2:
If we divide 50 by 59, we get 0 and a remainder of 50.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 50 after subtracting 0 from 50.
Include the next digit (9) from the dividend after 50, then repeat: 509 / 59

Let's proceed to step 3:
When dividing 509 by 59, we get 8 with a remainder of 37.
The number 8 becomes the next digit in our result. 
Result so far: 8.0
The remainder is 37 after subtracting 472 from 509.
Fetch the next digit (3) from the dividend, attach it to 37 and continue: 373 / 59

Step 4:
When dividing 373 by 59, we get 6 with a remainder of 19.
Put 6 as the next digit of the answer. 
Result so far: 86.0
Subtracting 354 from 373 leaves us with 19.
Bring next digit (7) of the dividend behind the 19 and repeat the process: 197 / 59

Moving on to step 5:
If we divide 197 by 59, we get 3 and a remainder of 20.
Use 3 as the next digit of our solution. 
Result so far: 863.0
If we subtract 177 from 197, we get 20.
Append the next digit (9) from the dividend to 20 and continue with: 209 / 59

Moving on to step 6:
59 goes into 209 3 times with a remainder of 32.
The next digit of our result is 3. 
Result so far: 8633.0
If we subtract 177 from 209, we get 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Let's proceed to step 7:
320 divided by 59 is 5 with a remainder of 25.
The number 5 becomes the next digit in our result. 
Result so far: 8633.5
The remainder is 25 after subtracting 295 from 320.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Advancing to step 8:
59 can be fit into 250 4 times, resulting in a remainder of 14.
Put 4 as the next digit of the answer. 
Result so far: 8633.54
If we take 236 away from 250, we end up with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Advancing to step 9:
When dividing 140 by 59, we get 2 with a remainder of 22.
Record the quotient 2 as the next digit in the result. 
Result so far: 8633.542
If we take 118 away from 140, we end up with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Let's proceed to step 10:
If we divide 220 by 59, we get 3 and a remainder of 43.
The number 3 becomes the next digit in our result. 
Result so far: 8633.5423
If we take 177 away from 220, we end up with 43.
Since there are no more digits in the dividend, we add a zero to the remainder making it 430, and continue the process.

On to step 11:
If we divide 430 by 59, we get 7 and a remainder of 17.
The number 7 becomes the next digit in our result. 
Result so far: 8633.54237
The remainder is 17 after subtracting 413 from 430.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Going ahead to step 12:
59 goes into 170 2 times with a remainder of 52.
Use 2 as the next digit of our solution. 
Result so far: 8633.542372
Subtract 118 from 170 to get 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Going ahead to step 13:
If we divide 520 by 59, we get 8 and a remainder of 48.
The next digit of our result is 8. 
Result so far: 8633.5423728
If we take 472 away from 520, we end up with 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Moving on to step 14:
When dividing 480 by 59, we get 8 with a remainder of 8.
Put 8 as the next digit of the answer. 
Result so far: 8633.54237288
Subtract 472 from 480 to 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 8633.54237288, and the remainder is 8e-09.