We're dividing 677209 by 59 
We want to figure out the number of times 677209 can be divided by 59.

Advancing to step 1:
If we divide 6 by 59, we get 0 and a remainder of 6.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 6 after subtracting 0 from 6.
Append the next digit (7) from the dividend to 6 and continue with: 67 / 59

Going ahead to step 2:
If we divide 67 by 59, we get 1 and a remainder of 8.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
The remainder is 8 after subtracting 59 from 67.
Append the next digit (7) from the dividend to 8 and continue with: 87 / 59

Moving on to step 3:
87 divided by 59 is 1 with a remainder of 28.
Put 1 as the next digit of the answer. 
Result so far: 11.0
If we take 59 away from 87, we end up with 28.
Grab the next digit (2) from the dividend, add it to 28, then carry on: 282 / 59

Let's proceed to step 4:
282 divided by 59 is 4 with a remainder of 46.
Record the quotient 4 as the next digit in the result. 
Result so far: 114.0
Subtract 236 from 282 to get 46.
Take the next digit (0) from the dividend and append it to 46, then repeat: 460 / 59

Step 5:
59 goes into 460 7 times with a remainder of 47.
Put 7 as the next digit of the answer. 
Result so far: 1147.0
Subtracting 413 from 460 leaves us with 47.
Take the next digit (9) from the dividend and append it to 47, then repeat: 479 / 59

On to step 6:
When dividing 479 by 59, we get 8 with a remainder of 7.
Use 8 as the next digit of our solution. 
Result so far: 11478.0
The remainder is 7 after subtracting 472 from 479.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Let's proceed to step 7:
When dividing 70 by 59, we get 1 with a remainder of 11.
The next digit of our result is 1. 
Result so far: 11478.1
If we take 59 away from 70, we end up with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Step 8:
If we divide 110 by 59, we get 1 and a remainder of 51.
Record the quotient 1 as the next digit in the result. 
Result so far: 11478.11
The remainder is 51 after subtracting 59 from 110.
Since there are no more digits in the dividend, we add a zero to the remainder making it 510, and continue the process.

Our division results in 11478.11 with a remaining 0.051.