We're dividing 553669 by 41 
Our goal is to divide 553669 by 41.

Going ahead to step 1:
The number 41 fits into 5 0 times, leaving a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Bring next digit (5) of the dividend behind the 5 and repeat the process: 55 / 41

Moving on to step 2:
If we divide 55 by 41, we get 1 and a remainder of 14.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Subtracting 41 from 55 leaves us with 14.
Include the next digit (3) from the dividend after 14, then repeat: 143 / 41

Going ahead to step 3:
The number 41 fits into 143 3 times, leaving a remainder of 20.
Record the quotient 3 as the next digit in the result. 
Result so far: 13.0
If we subtract 123 from 143, we get 20.
Take the next digit (6) from the dividend and append it to 20, then repeat: 206 / 41

Let's proceed to step 4:
206 divided by 41 is 5 with a remainder of 1.
Put 5 as the next digit of the answer. 
Result so far: 135.0
Deduct 205 from 206 and we're left with 1.
Fetch the next digit (6) from the dividend, attach it to 1 and continue: 16 / 41

Going ahead to step 5:
When dividing 16 by 41, we get 0 with a remainder of 16.
Record the quotient 0 as the next digit in the result. 
Result so far: 1350.0
Subtracting 0 from 16 leaves us with 16.
Append the next digit (9) from the dividend to 16 and continue with: 169 / 41

On to step 6:
The number 41 fits into 169 4 times, leaving a remainder of 5.
The number 4 becomes the next digit in our result. 
Result so far: 13504.0
Subtract 164 from 169 to get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Advancing to step 7:
41 can be fit into 50 1 times, resulting in a remainder of 9.
Record the quotient 1 as the next digit in the result. 
Result so far: 13504.1
If we subtract 41 from 50, we get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

On to step 8:
The number 41 fits into 90 2 times, leaving a remainder of 8.
The number 2 becomes the next digit in our result. 
Result so far: 13504.12
Subtracting 82 from 90 leaves us with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

On to step 9:
When dividing 80 by 41, we get 1 with a remainder of 39.
Put 1 as the next digit of the answer. 
Result so far: 13504.121
Subtract 41 from 80 to get 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

Moving on to step 10:
41 goes into 390 9 times with a remainder of 21.
The number 9 becomes the next digit in our result. 
Result so far: 13504.1219
Subtracting 369 from 390 leaves us with 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Let's proceed to step 11:
210 divided by 41 is 5 with a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 13504.12195
The remainder is 5 after subtracting 205 from 210.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

On to step 12:
The number 41 fits into 50 1 times, leaving a remainder of 9.
Put 1 as the next digit of the answer. 
Result so far: 13504.121951
Subtract 41 from 50 to get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

On to step 13:
90 divided by 41 is 2 with a remainder of 8.
Put 2 as the next digit of the answer. 
Result so far: 13504.1219512
The remainder is 8 after subtracting 82 from 90.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Going ahead to step 14:
80 divided by 41 is 1 with a remainder of 39.
Record the quotient 1 as the next digit in the result. 
Result so far: 13504.12195121
If we subtract 41 from 80, we get 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

The quotient of the division is 13504.12195121, and the remainder is 3.9e-08.