5293629 ÷ 376 
Our goal is to divide 5293629 by 376.

Moving on to step 1:
The number 376 fits into 5 0 times, leaving a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Grab the next digit (2) from the dividend, add it to 5, then carry on: 52 / 376

Let's proceed to step 2:
376 can be fit into 52 0 times, resulting in a remainder of 52.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 52, we end up with 52.
Bring next digit (9) of the dividend behind the 52 and repeat the process: 529 / 376

Moving on to step 3:
If we divide 529 by 376, we get 1 and a remainder of 153.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Subtract 376 from 529 to get 153.
Append the next digit (3) from the dividend to 153 and continue with: 1533 / 376

Let's proceed to step 4:
1533 divided by 376 is 4 with a remainder of 29.
Use 4 as the next digit of our solution. 
Result so far: 14.0
The remainder is 29 after subtracting 1504 from 1533.
Append the next digit (6) from the dividend to 29 and continue with: 296 / 376

Advancing to step 5:
When dividing 296 by 376, we get 0 with a remainder of 296.
Put 0 as the next digit of the answer. 
Result so far: 140.0
If we take 0 away from 296, we end up with 296.
Take the next digit (2) from the dividend and append it to 296, then repeat: 2962 / 376

Moving on to step 6:
When dividing 2962 by 376, we get 7 with a remainder of 330.
Write down 7 as next digit of the result. 
Result so far: 1407.0
Subtract 2632 from 2962 to get 330.
Append the next digit (9) from the dividend to 330 and continue with: 3309 / 376

Let's proceed to step 7:
The number 376 fits into 3309 8 times, leaving a remainder of 301.
Record the quotient 8 as the next digit in the result. 
Result so far: 14078.0
If we subtract 3008 from 3309, we get 301.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3010, and continue the process.

On to step 8:
376 can be fit into 3010 8 times, resulting in a remainder of 2.
Write down 8 as next digit of the result. 
Result so far: 14078.8
The remainder is 2 after subtracting 3008 from 3010.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Going ahead to step 9:
If we divide 20 by 376, we get 0 and a remainder of 20.
Use 0 as the next digit of our solution. 
Result so far: 14078.8
The remainder is 20 after subtracting 0 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Moving on to step 10:
376 goes into 200 0 times with a remainder of 200.
Record the quotient 0 as the next digit in the result. 
Result so far: 14078.8
Subtract 0 from 200 to get 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2000, and continue the process.

The quotient of the division is 14078.8, and the remainder is 0.02.