5306221 ÷ 946 
We want to divide 5306221 by 946.

Step 1:
If we divide 5 by 946, we get 0 and a remainder of 5.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Include the next digit (3) from the dividend after 5, then repeat: 53 / 946

Moving on to step 2:
The number 946 fits into 53 0 times, leaving a remainder of 53.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 53, we get 53.
Grab the next digit (0) from the dividend, add it to 53, then carry on: 530 / 946

Let's proceed to step 3:
If we divide 530 by 946, we get 0 and a remainder of 530.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 530, we get 530.
Include the next digit (6) from the dividend after 530, then repeat: 5306 / 946

Going ahead to step 4:
946 can be fit into 5306 5 times, resulting in a remainder of 576.
The next digit of our result is 5. 
Result so far: 5.0
The remainder is 576 after subtracting 4730 from 5306.
Grab the next digit (2) from the dividend, add it to 576, then carry on: 5762 / 946

On to step 5:
If we divide 5762 by 946, we get 6 and a remainder of 86.
Record the quotient 6 as the next digit in the result. 
Result so far: 56.0
If we take 5676 away from 5762, we end up with 86.
Fetch the next digit (2) from the dividend, attach it to 86 and continue: 862 / 946

Moving on to step 6:
When dividing 862 by 946, we get 0 with a remainder of 862.
Put 0 as the next digit of the answer. 
Result so far: 560.0
The remainder is 862 after subtracting 0 from 862.
Grab the next digit (1) from the dividend, add it to 862, then carry on: 8621 / 946

Advancing to step 7:
946 goes into 8621 9 times with a remainder of 107.
The next digit of our result is 9. 
Result so far: 5609.0
Deduct 8514 from 8621 and we're left with 107.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1070, and continue the process.

Going ahead to step 8:
The number 946 fits into 1070 1 times, leaving a remainder of 124.
The next digit of our result is 1. 
Result so far: 5609.1
Subtract 946 from 1070 to get 124.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1240, and continue the process.

Step 9:
1240 divided by 946 is 1 with a remainder of 294.
The number 1 becomes the next digit in our result. 
Result so far: 5609.11
If we take 946 away from 1240, we end up with 294.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2940, and continue the process.

After the division, we end up with 5609.11 and a remainder of 0.294.