We look at the division of 5362642 by 376 
Our goal is to divide 5362642 by 376.

Step 1:
376 goes into 5 0 times with a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Include the next digit (3) from the dividend after 5, then repeat: 53 / 376

On to step 2:
376 can be fit into 53 0 times, resulting in a remainder of 53.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 53 and we're left with 53.
Fetch the next digit (6) from the dividend, attach it to 53 and continue: 536 / 376

Going ahead to step 3:
If we divide 536 by 376, we get 1 and a remainder of 160.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Subtracting 376 from 536 leaves us with 160.
Bring next digit (2) of the dividend behind the 160 and repeat the process: 1602 / 376

Advancing to step 4:
When dividing 1602 by 376, we get 4 with a remainder of 98.
The number 4 becomes the next digit in our result. 
Result so far: 14.0
If we take 1504 away from 1602, we end up with 98.
Take the next digit (6) from the dividend and append it to 98, then repeat: 986 / 376

Let's proceed to step 5:
If we divide 986 by 376, we get 2 and a remainder of 234.
The number 2 becomes the next digit in our result. 
Result so far: 142.0
If we subtract 752 from 986, we get 234.
Take the next digit (4) from the dividend and append it to 234, then repeat: 2344 / 376

Advancing to step 6:
When dividing 2344 by 376, we get 6 with a remainder of 88.
The number 6 becomes the next digit in our result. 
Result so far: 1426.0
If we take 2256 away from 2344, we end up with 88.
Bring next digit (2) of the dividend behind the 88 and repeat the process: 882 / 376

Going ahead to step 7:
882 divided by 376 is 2 with a remainder of 130.
Record the quotient 2 as the next digit in the result. 
Result so far: 14262.0
Deduct 752 from 882 and we're left with 130.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1300, and continue the process.

Let's proceed to step 8:
The number 376 fits into 1300 3 times, leaving a remainder of 172.
The number 3 becomes the next digit in our result. 
Result so far: 14262.3
If we subtract 1128 from 1300, we get 172.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1720, and continue the process.

Let's proceed to step 9:
1720 divided by 376 is 4 with a remainder of 216.
The next digit of our result is 4. 
Result so far: 14262.34
If we take 1504 away from 1720, we end up with 216.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2160, and continue the process.

Going ahead to step 10:
When dividing 2160 by 376, we get 5 with a remainder of 280.
Use 5 as the next digit of our solution. 
Result so far: 14262.345
Deduct 1880 from 2160 and we're left with 280.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2800, and continue the process.

Going ahead to step 11:
376 goes into 2800 7 times with a remainder of 168.
Record the quotient 7 as the next digit in the result. 
Result so far: 14262.3457
Deduct 2632 from 2800 and we're left with 168.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1680, and continue the process.

Step 12:
376 goes into 1680 4 times with a remainder of 176.
Write down 4 as next digit of the result. 
Result so far: 14262.34574
Subtracting 1504 from 1680 leaves us with 176.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1760, and continue the process.

Step 13:
The number 376 fits into 1760 4 times, leaving a remainder of 256.
The next digit of our result is 4. 
Result so far: 14262.345744
Deduct 1504 from 1760 and we're left with 256.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2560, and continue the process.

In conclusion, the division gives 14262.345744 with a balance of 2.56e-05.