We're dividing 412605 by 59 
We want to divide 412605 by 59.

Let's proceed to step 1:
When dividing 4 by 59, we get 0 with a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 4 to get 4.
Include the next digit (1) from the dividend after 4, then repeat: 41 / 59

Moving on to step 2:
If we divide 41 by 59, we get 0 and a remainder of 41.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 41, we end up with 41.
Bring next digit (2) of the dividend behind the 41 and repeat the process: 412 / 59

Advancing to step 3:
412 divided by 59 is 6 with a remainder of 58.
Record the quotient 6 as the next digit in the result. 
Result so far: 6.0
If we take 354 away from 412, we end up with 58.
Fetch the next digit (6) from the dividend, attach it to 58 and continue: 586 / 59

On to step 4:
586 divided by 59 is 9 with a remainder of 55.
Write down 9 as next digit of the result. 
Result so far: 69.0
Subtracting 531 from 586 leaves us with 55.
Grab the next digit (0) from the dividend, add it to 55, then carry on: 550 / 59

Step 5:
The number 59 fits into 550 9 times, leaving a remainder of 19.
Record the quotient 9 as the next digit in the result. 
Result so far: 699.0
If we subtract 531 from 550, we get 19.
Append the next digit (5) from the dividend to 19 and continue with: 195 / 59

Step 6:
If we divide 195 by 59, we get 3 and a remainder of 18.
The number 3 becomes the next digit in our result. 
Result so far: 6993.0
Subtract 177 from 195 to get 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Advancing to step 7:
If we divide 180 by 59, we get 3 and a remainder of 3.
The number 3 becomes the next digit in our result. 
Result so far: 6993.3
The remainder is 3 after subtracting 177 from 180.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Moving on to step 8:
59 goes into 30 0 times with a remainder of 30.
The number 0 becomes the next digit in our result. 
Result so far: 6993.3
Deduct 0 from 30 and we're left with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Step 9:
59 goes into 300 5 times with a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 6993.305
Subtracting 295 from 300 leaves us with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Let's proceed to step 10:
The number 59 fits into 50 0 times, leaving a remainder of 50.
The next digit of our result is 0. 
Result so far: 6993.305
Subtract 0 from 50 to get 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Advancing to step 11:
When dividing 500 by 59, we get 8 with a remainder of 28.
The next digit of our result is 8. 
Result so far: 6993.30508
If we subtract 472 from 500, 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 12:
When dividing 280 by 59, we get 4 with a remainder of 44.
Record the quotient 4 as the next digit in the result. 
Result so far: 6993.305084
The remainder is 44 after subtracting 236 from 280.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

On to step 13:
59 goes into 440 7 times with a remainder of 27.
Put 7 as the next digit of the answer. 
Result so far: 6993.3050847
Deduct 413 from 440 and we're left with 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

On to step 14:
59 goes into 270 4 times with a remainder of 34.
Write down 4 as next digit of the result. 
Result so far: 6993.30508474
If we take 236 away from 270, we end up with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

The final result is 6993.30508474 with a remainder of 3.4e-08.