We look at the division of 5631111 by 377 
We're looking to find how many times 377 goes into 5631111.

Step 1:
If we divide 5 by 377, we get 0 and a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Grab the next digit (6) from the dividend, add it to 5, then carry on: 56 / 377

Going ahead to step 2:
56 divided by 377 is 0 with a remainder of 56.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 56, we get 56.
Take the next digit (3) from the dividend and append it to 56, then repeat: 563 / 377

Step 3:
377 can be fit into 563 1 times, resulting in a remainder of 186.
Write down 1 as next digit of the result. 
Result so far: 1.0
The remainder is 186 after subtracting 377 from 563.
Grab the next digit (1) from the dividend, add it to 186, then carry on: 1861 / 377

On to step 4:
The number 377 fits into 1861 4 times, leaving a remainder of 353.
Put 4 as the next digit of the answer. 
Result so far: 14.0
The remainder is 353 after subtracting 1508 from 1861.
Bring next digit (1) of the dividend behind the 353 and repeat the process: 3531 / 377

Let's proceed to step 5:
When dividing 3531 by 377, we get 9 with a remainder of 138.
Write down 9 as next digit of the result. 
Result so far: 149.0
Subtracting 3393 from 3531 leaves us with 138.
Include the next digit (1) from the dividend after 138, then repeat: 1381 / 377

On to step 6:
377 can be fit into 1381 3 times, resulting in a remainder of 250.
Put 3 as the next digit of the answer. 
Result so far: 1493.0
If we take 1131 away from 1381, we end up with 250.
Take the next digit (1) from the dividend and append it to 250, then repeat: 2501 / 377

Going ahead to step 7:
2501 divided by 377 is 6 with a remainder of 239.
The number 6 becomes the next digit in our result. 
Result so far: 14936.0
The remainder is 239 after subtracting 2262 from 2501.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2390, and continue the process.

On to step 8:
377 goes into 2390 6 times with a remainder of 128.
Record the quotient 6 as the next digit in the result. 
Result so far: 14936.6
If we take 2262 away from 2390, we end up with 128.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1280, and continue the process.

Moving on to step 9:
1280 divided by 377 is 3 with a remainder of 149.
Put 3 as the next digit of the answer. 
Result so far: 14936.63
If we take 1131 away from 1280, we end up with 149.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1490, and continue the process.

Let's proceed to step 10:
377 goes into 1490 3 times with a remainder of 359.
The next digit of our result is 3. 
Result so far: 14936.633
Deduct 1131 from 1490 and we're left with 359.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3590, and continue the process.

The final outcome is 14936.633, with a leftover of 0.0359.