We look at the division of 350677 by 59 
We want to figure out the number of times 350677 can be divided by 59.

Moving on to step 1:
59 can be fit into 3 0 times, resulting in a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 3, we get 3.
Take the next digit (5) from the dividend and append it to 3, then repeat: 35 / 59

Let's proceed to step 2:
59 goes into 35 0 times with a remainder of 35.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 35 to get 35.
Grab the next digit (0) from the dividend, add it to 35, then carry on: 350 / 59

Going ahead to step 3:
350 divided by 59 is 5 with a remainder of 55.
The number 5 becomes the next digit in our result. 
Result so far: 5.0
If we subtract 295 from 350, we get 55.
Bring next digit (6) of the dividend behind the 55 and repeat the process: 556 / 59

On to step 4:
When dividing 556 by 59, we get 9 with a remainder of 25.
Use 9 as the next digit of our solution. 
Result so far: 59.0
If we take 531 away from 556, we end up with 25.
Bring next digit (7) of the dividend behind the 25 and repeat the process: 257 / 59

Advancing to step 5:
59 can be fit into 257 4 times, resulting in a remainder of 21.
Record the quotient 4 as the next digit in the result. 
Result so far: 594.0
The remainder is 21 after subtracting 236 from 257.
Take the next digit (7) from the dividend and append it to 21, then repeat: 217 / 59

Moving on to step 6:
217 divided by 59 is 3 with a remainder of 40.
Put 3 as the next digit of the answer. 
Result so far: 5943.0
Deduct 177 from 217 and we're left with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Advancing to step 7:
If we divide 400 by 59, we get 6 and a remainder of 46.
Write down 6 as next digit of the result. 
Result so far: 5943.6
Deduct 354 from 400 and we're left with 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

Let's proceed to step 8:
When dividing 460 by 59, we get 7 with a remainder of 47.
Use 7 as the next digit of our solution. 
Result so far: 5943.67
If we take 413 away from 460, we end up with 47.
Since there are no more digits in the dividend, we add a zero to the remainder making it 470, and continue the process.

Step 9:
If we divide 470 by 59, we get 7 and a remainder of 57.
Write down 7 as next digit of the result. 
Result so far: 5943.677
Subtract 413 from 470 to get 57.
Since there are no more digits in the dividend, we add a zero to the remainder making it 570, and continue the process.

The final outcome is 5943.677, with a leftover of 0.0057.