5553500 ÷ 946 
We're looking to find how many times 946 goes into 5553500.

Step 1:
When dividing 5 by 946, we get 0 with a remainder of 5.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Take the next digit (5) from the dividend and append it to 5, then repeat: 55 / 946

On to step 2:
946 goes into 55 0 times with a remainder of 55.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 55 after subtracting 0 from 55.
Append the next digit (5) from the dividend to 55 and continue with: 555 / 946

Going ahead to step 3:
946 can be fit into 555 0 times, resulting in a remainder of 555.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 555, we end up with 555.
Include the next digit (3) from the dividend after 555, then repeat: 5553 / 946

Moving on to step 4:
946 goes into 5553 5 times with a remainder of 823.
Write down 5 as next digit of the result. 
Result so far: 5.0
Subtracting 4730 from 5553 leaves us with 823.
Take the next digit (5) from the dividend and append it to 823, then repeat: 8235 / 946

On to step 5:
The number 946 fits into 8235 8 times, leaving a remainder of 667.
Use 8 as the next digit of our solution. 
Result so far: 58.0
Deduct 7568 from 8235 and we're left with 667.
Include the next digit (0) from the dividend after 667, then repeat: 6670 / 946

Let's proceed to step 6:
When dividing 6670 by 946, we get 7 with a remainder of 48.
Write down 7 as next digit of the result. 
Result so far: 587.0
Subtracting 6622 from 6670 leaves us with 48.
Fetch the next digit (0) from the dividend, attach it to 48 and continue: 480 / 946

Moving on to step 7:
480 divided by 946 is 0 with a remainder of 480.
Put 0 as the next digit of the answer. 
Result so far: 5870.0
Subtract 0 from 480 to get 480.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4800, and continue the process.

Advancing to step 8:
The number 946 fits into 4800 5 times, leaving a remainder of 70.
Write down 5 as next digit of the result. 
Result so far: 5870.5
Subtracting 4730 from 4800 leaves us with 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

Advancing to step 9:
946 goes into 700 0 times with a remainder of 700.
The next digit of our result is 0. 
Result so far: 5870.5
If we subtract 0 from 700, we get 700.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7000, and continue the process.

Step 10:
946 goes into 7000 7 times with a remainder of 378.
Use 7 as the next digit of our solution. 
Result so far: 5870.507
Deduct 6622 from 7000 and we're left with 378.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3780, and continue the process.

Advancing to step 11:
When dividing 3780 by 946, we get 3 with a remainder of 942.
Put 3 as the next digit of the answer. 
Result so far: 5870.5073
Deduct 2838 from 3780 and we're left with 942.
Since there are no more digits in the dividend, we add a zero to the remainder making it 9420, and continue the process.

Advancing to step 12:
946 goes into 9420 9 times with a remainder of 906.
The next digit of our result is 9. 
Result so far: 5870.50739
Subtracting 8514 from 9420 leaves us with 906.
Since there are no more digits in the dividend, we add a zero to the remainder making it 9060, and continue the process.

Step 13:
If we divide 9060 by 946, we get 9 and a remainder of 546.
Write down 9 as next digit of the result. 
Result so far: 5870.507399
The remainder is 546 after subtracting 8514 from 9060.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5460, and continue the process.

The final outcome is 5870.507399, with a leftover of 5.46e-05.