We're dividing 462642 by 59 
Our goal is to divide 462642 by 59.

Moving on to step 1:
4 divided by 59 is 0 with a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 4, we get 4.
Fetch the next digit (6) from the dividend, attach it to 4 and continue: 46 / 59

Step 2:
The number 59 fits into 46 0 times, leaving a remainder of 46.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 46, we get 46.
Append the next digit (2) from the dividend to 46 and continue with: 462 / 59

Moving on to step 3:
If we divide 462 by 59, we get 7 and a remainder of 49.
The number 7 becomes the next digit in our result. 
Result so far: 7.0
If we take 413 away from 462, we end up with 49.
Bring next digit (6) of the dividend behind the 49 and repeat the process: 496 / 59

Going ahead to step 4:
If we divide 496 by 59, we get 8 and a remainder of 24.
Record the quotient 8 as the next digit in the result. 
Result so far: 78.0
The remainder is 24 after subtracting 472 from 496.
Bring next digit (4) of the dividend behind the 24 and repeat the process: 244 / 59

Advancing to step 5:
59 goes into 244 4 times with a remainder of 8.
The number 4 becomes the next digit in our result. 
Result so far: 784.0
If we take 236 away from 244, we end up with 8.
Append the next digit (2) from the dividend to 8 and continue with: 82 / 59

Moving on to step 6:
59 can be fit into 82 1 times, resulting in a remainder of 23.
The number 1 becomes the next digit in our result. 
Result so far: 7841.0
If we take 59 away from 82, we end up with 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Let's proceed to step 7:
The number 59 fits into 230 3 times, leaving a remainder of 53.
The next digit of our result is 3. 
Result so far: 7841.3
Subtracting 177 from 230 leaves us with 53.
Since there are no more digits in the dividend, we add a zero to the remainder making it 530, and continue the process.

Let's proceed to step 8:
If we divide 530 by 59, we get 8 and a remainder of 58.
Record the quotient 8 as the next digit in the result. 
Result so far: 7841.38
Subtracting 472 from 530 leaves us with 58.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

Step 9:
59 goes into 580 9 times with a remainder of 49.
Record the quotient 9 as the next digit in the result. 
Result so far: 7841.389
Subtract 531 from 580 to get 49.
Since there are no more digits in the dividend, we add a zero to the remainder making it 490, and continue the process.

Advancing to step 10:
When dividing 490 by 59, we get 8 with a remainder of 18.
Put 8 as the next digit of the answer. 
Result so far: 7841.3898
If we take 472 away from 490, we end up with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Let's proceed to step 11:
The number 59 fits into 180 3 times, leaving a remainder of 3.
The number 3 becomes the next digit in our result. 
Result so far: 7841.38983
Subtract 177 from 180 to get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Advancing to step 12:
59 goes into 30 0 times with a remainder of 30.
Put 0 as the next digit of the answer. 
Result so far: 7841.38983
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 13:
300 divided by 59 is 5 with a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 7841.3898305
If we take 295 away from 300, we end up 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.

On to step 14:
When dividing 50 by 59, we get 0 with a remainder of 50.
Put 0 as the next digit of the answer. 
Result so far: 7841.3898305
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.

In conclusion, the division gives 7841.3898305 with a balance of 5e-08.