11303344 divided by 337 
We want to figure out the number of times 11303344 can be divided by 337.

Step 1:
1 divided by 337 is 0 with a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Take the next digit (1) from the dividend and append it to 1, then repeat: 11 / 337

On to step 2:
The number 337 fits into 11 0 times, leaving a remainder of 11.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 11 leaves us with 11.
Grab the next digit (3) from the dividend, add it to 11, then carry on: 113 / 337

On to step 3:
When dividing 113 by 337, we get 0 with a remainder of 113.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 113 after subtracting 0 from 113.
Take the next digit (0) from the dividend and append it to 113, then repeat: 1130 / 337

Step 4:
337 can be fit into 1130 3 times, resulting in a remainder of 119.
The number 3 becomes the next digit in our result. 
Result so far: 3.0
If we take 1011 away from 1130, we end up with 119.
Fetch the next digit (3) from the dividend, attach it to 119 and continue: 1193 / 337

Let's proceed to step 5:
If we divide 1193 by 337, we get 3 and a remainder of 182.
The number 3 becomes the next digit in our result. 
Result so far: 33.0
If we take 1011 away from 1193, we end up with 182.
Grab the next digit (3) from the dividend, add it to 182, then carry on: 1823 / 337

On to step 6:
337 goes into 1823 5 times with a remainder of 138.
The next digit of our result is 5. 
Result so far: 335.0
Subtracting 1685 from 1823 leaves us with 138.
Fetch the next digit (4) from the dividend, attach it to 138 and continue: 1384 / 337

On to step 7:
When dividing 1384 by 337, we get 4 with a remainder of 36.
The number 4 becomes the next digit in our result. 
Result so far: 3354.0
If we subtract 1348 from 1384, we get 36.
Bring next digit (4) of the dividend behind the 36 and repeat the process: 364 / 337

On to step 8:
When dividing 364 by 337, we get 1 with a remainder of 27.
The next digit of our result is 1. 
Result so far: 33541.0
Deduct 337 from 364 and we're left with 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Moving on to step 9:
When dividing 270 by 337, we get 0 with a remainder of 270.
Use 0 as the next digit of our solution. 
Result so far: 33541.0
The remainder is 270 after subtracting 0 from 270.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2700, and continue the process.

Going ahead to step 10:
If we divide 2700 by 337, we get 8 and a remainder of 4.
Put 8 as the next digit of the answer. 
Result so far: 33541.08
The remainder is 4 after subtracting 2696 from 2700.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Going ahead to step 11:
337 goes into 40 0 times with a remainder of 40.
Use 0 as the next digit of our solution. 
Result so far: 33541.08
Deduct 0 from 40 and we're left with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Moving on to step 12:
400 divided by 337 is 1 with a remainder of 63.
Use 1 as the next digit of our solution. 
Result so far: 33541.0801
If we subtract 337 from 400, we get 63.
Since there are no more digits in the dividend, we add a zero to the remainder making it 630, and continue the process.

Let's proceed to step 13:
The number 337 fits into 630 1 times, leaving a remainder of 293.
The number 1 becomes the next digit in our result. 
Result so far: 33541.08011
Subtract 337 from 630 to get 293.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2930, and continue the process.

The quotient of the division is 33541.08011, and the remainder is 0.000293.