We're dividing 11634401 by 669 
Our goal is to divide 11634401 by 669.

Moving on to step 1:
669 can be fit into 1 0 times, resulting in a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Append the next digit (1) from the dividend to 1 and continue with: 11 / 669

Advancing to step 2:
The number 669 fits into 11 0 times, leaving a remainder of 11.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 11, we get 11.
Grab the next digit (6) from the dividend, add it to 11, then carry on: 116 / 669

On to step 3:
669 goes into 116 0 times with a remainder of 116.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 116 and we're left with 116.
Grab the next digit (3) from the dividend, add it to 116, then carry on: 1163 / 669

Let's proceed to step 4:
669 can be fit into 1163 1 times, resulting in a remainder of 494.
Write down 1 as next digit of the result. 
Result so far: 1.0
If we subtract 669 from 1163, we get 494.
Append the next digit (4) from the dividend to 494 and continue with: 4944 / 669

Advancing to step 5:
The number 669 fits into 4944 7 times, leaving a remainder of 261.
Write down 7 as next digit of the result. 
Result so far: 17.0
Subtracting 4683 from 4944 leaves us with 261.
Bring next digit (4) of the dividend behind the 261 and repeat the process: 2614 / 669

Going ahead to step 6:
669 goes into 2614 3 times with a remainder of 607.
Write down 3 as next digit of the result. 
Result so far: 173.0
The remainder is 607 after subtracting 2007 from 2614.
Append the next digit (0) from the dividend to 607 and continue with: 6070 / 669

Advancing to step 7:
669 goes into 6070 9 times with a remainder of 49.
Write down 9 as next digit of the result. 
Result so far: 1739.0
If we subtract 6021 from 6070, we get 49.
Take the next digit (1) from the dividend and append it to 49, then repeat: 491 / 669

Moving on to step 8:
If we divide 491 by 669, we get 0 and a remainder of 491.
Use 0 as the next digit of our solution. 
Result so far: 17390.0
Subtracting 0 from 491 leaves us with 491.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4910, and continue the process.

Going ahead to step 9:
When dividing 4910 by 669, we get 7 with a remainder of 227.
Put 7 as the next digit of the answer. 
Result so far: 17390.7
Subtracting 4683 from 4910 leaves us with 227.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2270, and continue the process.

Going ahead to step 10:
If we divide 2270 by 669, we get 3 and a remainder of 263.
The next digit of our result is 3. 
Result so far: 17390.73
Deduct 2007 from 2270 and we're left with 263.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2630, and continue the process.

Moving on to step 11:
2630 divided by 669 is 3 with a remainder of 623.
Use 3 as the next digit of our solution. 
Result so far: 17390.733
Subtracting 2007 from 2630 leaves us with 623.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6230, and continue the process.

The final result is 17390.733 with a remainder of 0.0623.