We're dividing 377687 by 58 
We want to divide 377687 by 58.

On to step 1:
The number 58 fits into 3 0 times, leaving a remainder of 3.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 3, we end up with 3.
Take the next digit (7) from the dividend and append it to 3, then repeat: 37 / 58

Advancing to step 2:
The number 58 fits into 37 0 times, leaving a remainder of 37.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 37 to get 37.
Take the next digit (7) from the dividend and append it to 37, then repeat: 377 / 58

Step 3:
If we divide 377 by 58, we get 6 and a remainder of 29.
Use 6 as the next digit of our solution. 
Result so far: 6.0
The remainder is 29 after subtracting 348 from 377.
Bring next digit (6) of the dividend behind the 29 and repeat the process: 296 / 58

Step 4:
58 can be fit into 296 5 times, resulting in a remainder of 6.
Record the quotient 5 as the next digit in the result. 
Result so far: 65.0
Subtracting 290 from 296 leaves us with 6.
Append the next digit (8) from the dividend to 6 and continue with: 68 / 58

Step 5:
68 divided by 58 is 1 with a remainder of 10.
Put 1 as the next digit of the answer. 
Result so far: 651.0
The remainder is 10 after subtracting 58 from 68.
Include the next digit (7) from the dividend after 10, then repeat: 107 / 58

Moving on to step 6:
58 can be fit into 107 1 times, resulting in a remainder of 49.
The next digit of our result is 1. 
Result so far: 6511.0
If we take 58 away from 107, we end up with 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 7:
If we divide 490 by 58, we get 8 and a remainder of 26.
Record the quotient 8 as the next digit in the result. 
Result so far: 6511.8
If we take 464 away from 490, we end up with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

On to step 8:
58 can be fit into 260 4 times, resulting in a remainder of 28.
Use 4 as the next digit of our solution. 
Result so far: 6511.84
Subtract 232 from 260 to 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.

Let's proceed to step 9:
The number 58 fits into 280 4 times, leaving a remainder of 48.
Record the quotient 4 as the next digit in the result. 
Result so far: 6511.844
Subtract 232 from 280 to get 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

The final outcome is 6511.844, with a leftover of 0.0048.