6383377 ÷ 155 
We want to figure out the number of times 6383377 can be divided by 155.

Advancing to step 1:
If we divide 6 by 155, we get 0 and a remainder of 6.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 6 to get 6.
Include the next digit (3) from the dividend after 6, then repeat: 63 / 155

Let's proceed to step 2:
If we divide 63 by 155, we get 0 and a remainder of 63.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 63, we end up with 63.
Append the next digit (8) from the dividend to 63 and continue with: 638 / 155

On to step 3:
155 goes into 638 4 times with a remainder of 18.
The number 4 becomes the next digit in our result. 
Result so far: 4.0
Subtracting 620 from 638 leaves us with 18.
Fetch the next digit (3) from the dividend, attach it to 18 and continue: 183 / 155

Step 4:
If we divide 183 by 155, we get 1 and a remainder of 28.
Write down 1 as next digit of the result. 
Result so far: 41.0
The remainder is 28 after subtracting 155 from 183.
Include the next digit (3) from the dividend after 28, then repeat: 283 / 155

Advancing to step 5:
155 goes into 283 1 times with a remainder of 128.
Record the quotient 1 as the next digit in the result. 
Result so far: 411.0
Deduct 155 from 283 and we're left with 128.
Take the next digit (7) from the dividend and append it to 128, then repeat: 1287 / 155

Let's proceed to step 6:
1287 divided by 155 is 8 with a remainder of 47.
Record the quotient 8 as the next digit in the result. 
Result so far: 4118.0
If we take 1240 away from 1287, we end up with 47.
Include the next digit (7) from the dividend after 47, then repeat: 477 / 155

Step 7:
155 can be fit into 477 3 times, resulting in a remainder of 12.
Use 3 as the next digit of our solution. 
Result so far: 41183.0
Subtracting 465 from 477 leaves us with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Let's proceed to step 8:
120 divided by 155 is 0 with a remainder of 120.
The next digit of our result is 0. 
Result so far: 41183.0
Deduct 0 from 120 and we're left with 120.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1200, and continue the process.

On to step 9:
1200 divided by 155 is 7 with a remainder of 115.
Put 7 as the next digit of the answer. 
Result so far: 41183.07
If we take 1085 away from 1200, we end up with 115.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1150, and continue the process.

Advancing to step 10:
If we divide 1150 by 155, we get 7 and a remainder of 65.
Record the quotient 7 as the next digit in the result. 
Result so far: 41183.077
Deduct 1085 from 1150 and we're left with 65.
Since there are no more digits in the dividend, we add a zero to the remainder making it 650, and continue the process.

The final result is 41183.077 with a remainder of 0.0065.