426677 ÷ 59 
Our goal is to divide 426677 by 59.

Advancing to step 1:
4 divided by 59 is 0 with a remainder of 4.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 4 leaves us with 4.
Include the next digit (2) from the dividend after 4, then repeat: 42 / 59

Step 2:
59 goes into 42 0 times with a remainder of 42.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 42 and we're left with 42.
Bring next digit (6) of the dividend behind the 42 and repeat the process: 426 / 59

On to step 3:
The number 59 fits into 426 7 times, leaving a remainder of 13.
The next digit of our result is 7. 
Result so far: 7.0
Deduct 413 from 426 and we're left with 13.
Fetch the next digit (6) from the dividend, attach it to 13 and continue: 136 / 59

Let's proceed to step 4:
The number 59 fits into 136 2 times, leaving a remainder of 18.
The next digit of our result is 2. 
Result so far: 72.0
Subtracting 118 from 136 leaves us with 18.
Fetch the next digit (7) from the dividend, attach it to 18 and continue: 187 / 59

Going ahead to step 5:
187 divided by 59 is 3 with a remainder of 10.
The next digit of our result is 3. 
Result so far: 723.0
Subtract 177 from 187 to get 10.
Append the next digit (7) from the dividend to 10 and continue with: 107 / 59

On to step 6:
When dividing 107 by 59, we get 1 with a remainder of 48.
Use 1 as the next digit of our solution. 
Result so far: 7231.0
The remainder is 48 after subtracting 59 from 107.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Step 7:
480 divided by 59 is 8 with a remainder of 8.
Write down 8 as next digit of the result. 
Result so far: 7231.8
If we take 472 away from 480, we end up with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Going ahead to step 8:
59 can be fit into 80 1 times, resulting in a remainder of 21.
The next digit of our result is 1. 
Result so far: 7231.81
Subtract 59 from 80 to get 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Advancing to step 9:
The number 59 fits into 210 3 times, leaving a remainder of 33.
The next digit of our result is 3. 
Result so far: 7231.813
Subtracting 177 from 210 leaves us with 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

Moving on to step 10:
59 goes into 330 5 times with a remainder of 35.
Record the quotient 5 as the next digit in the result. 
Result so far: 7231.8135
If we take 295 away from 330, we end up with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Moving on to step 11:
If we divide 350 by 59, we get 5 and a remainder of 55.
The next digit of our result is 5. 
Result so far: 7231.81355
If we subtract 295 from 350, we get 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

The quotient of the division is 7231.81355, and the remainder is 5.5e-05.