11334291 ÷ 557 
Our goal is to divide 11334291 by 557.

Moving on to step 1:
If we divide 1 by 557, we get 0 and a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Grab the next digit (1) from the dividend, add it to 1, then carry on: 11 / 557

Step 2:
557 can be fit into 11 0 times, resulting in a remainder of 11.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 11, we get 11.
Include the next digit (3) from the dividend after 11, then repeat: 113 / 557

Advancing to step 3:
557 goes into 113 0 times with a remainder of 113.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 113 to get 113.
Bring next digit (3) of the dividend behind the 113 and repeat the process: 1133 / 557

Moving on to step 4:
1133 divided by 557 is 2 with a remainder of 19.
Write down 2 as next digit of the result. 
Result so far: 2.0
Subtract 1114 from 1133 to get 19.
Grab the next digit (4) from the dividend, add it to 19, then carry on: 194 / 557

Let's proceed to step 5:
557 goes into 194 0 times with a remainder of 194.
Write down 0 as next digit of the result. 
Result so far: 20.0
Deduct 0 from 194 and we're left with 194.
Fetch the next digit (2) from the dividend, attach it to 194 and continue: 1942 / 557

Moving on to step 6:
When dividing 1942 by 557, we get 3 with a remainder of 271.
Write down 3 as next digit of the result. 
Result so far: 203.0
Subtract 1671 from 1942 to get 271.
Grab the next digit (9) from the dividend, add it to 271, then carry on: 2719 / 557

Moving on to step 7:
2719 divided by 557 is 4 with a remainder of 491.
Use 4 as the next digit of our solution. 
Result so far: 2034.0
If we subtract 2228 from 2719, we get 491.
Bring next digit (1) of the dividend behind the 491 and repeat the process: 4911 / 557

Advancing to step 8:
557 can be fit into 4911 8 times, resulting in a remainder of 455.
The next digit of our result is 8. 
Result so far: 20348.0
Subtract 4456 from 4911 to get 455.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4550, and continue the process.

Advancing to step 9:
4550 divided by 557 is 8 with a remainder of 94.
The number 8 becomes the next digit in our result. 
Result so far: 20348.8
If we take 4456 away from 4550, we end up with 94.
Since there are no more digits in the dividend, we add a zero to the remainder making it 940, and continue the process.

Advancing to step 10:
When dividing 940 by 557, we get 1 with a remainder of 383.
Use 1 as the next digit of our solution. 
Result so far: 20348.81
The remainder is 383 after subtracting 557 from 940.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3830, and continue the process.

Going ahead to step 11:
557 can be fit into 3830 6 times, resulting in a remainder of 488.
Write down 6 as next digit of the result. 
Result so far: 20348.816
If we subtract 3342 from 3830, we get 488.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4880, and continue the process.

Advancing to step 12:
557 can be fit into 4880 8 times, resulting in a remainder of 424.
The next digit of our result is 8. 
Result so far: 20348.8168
If we take 4456 away from 4880, we end up with 424.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4240, and continue the process.

On to step 13:
When dividing 4240 by 557, we get 7 with a remainder of 341.
Record the quotient 7 as the next digit in the result. 
Result so far: 20348.81687
If we subtract 3899 from 4240, we get 341.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3410, and continue the process.

Moving on to step 14:
557 can be fit into 3410 6 times, resulting in a remainder of 68.
Record the quotient 6 as the next digit in the result. 
Result so far: 20348.816876
Deduct 3342 from 3410 and we're left with 68.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

Advancing to step 15:
If we divide 680 by 557, we get 1 and a remainder of 123.
The number 1 becomes the next digit in our result. 
Result so far: 20348.8168761
If we subtract 557 from 680, we get 123.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1230, and continue the process.

On to step 16:
557 can be fit into 1230 2 times, resulting in a remainder of 116.
Record the quotient 2 as the next digit in the result. 
Result so far: 20348.81687612
Deduct 1114 from 1230 and we're left with 116.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1160, and continue the process.

The final result is 20348.81687612 with a remainder of 1.16e-07.