416946 ÷ 753 
We're looking to find how many times 753 goes into 416946.

On to step 1:
753 can be fit into 4 0 times, resulting in a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 4, we end up with 4.
Fetch the next digit (1) from the dividend, attach it to 4 and continue: 41 / 753

Going ahead to step 2:
753 can be fit into 41 0 times, resulting in a remainder of 41.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 41 leaves us with 41.
Grab the next digit (6) from the dividend, add it to 41, then carry on: 416 / 753

Step 3:
753 can be fit into 416 0 times, resulting in a remainder of 416.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 416 and we're left with 416.
Include the next digit (9) from the dividend after 416, then repeat: 4169 / 753

Going ahead to step 4:
When dividing 4169 by 753, we get 5 with a remainder of 404.
Use 5 as the next digit of our solution. 
Result so far: 5.0
Subtract 3765 from 4169 to get 404.
Include the next digit (4) from the dividend after 404, then repeat: 4044 / 753

Going ahead to step 5:
753 can be fit into 4044 5 times, resulting in a remainder of 279.
Write down 5 as next digit of the result. 
Result so far: 55.0
Deduct 3765 from 4044 and we're left with 279.
Grab the next digit (6) from the dividend, add it to 279, then carry on: 2796 / 753

On to step 6:
When dividing 2796 by 753, we get 3 with a remainder of 537.
Record the quotient 3 as the next digit in the result. 
Result so far: 553.0
If we subtract 2259 from 2796, we get 537.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5370, and continue the process.

Advancing to step 7:
753 goes into 5370 7 times with a remainder of 99.
The next digit of our result is 7. 
Result so far: 553.7
Subtract 5271 from 5370 to get 99.
Since there are no more digits in the dividend, we add a zero to the remainder making it 990, and continue the process.

Going ahead to step 8:
753 goes into 990 1 times with a remainder of 237.
Record the quotient 1 as the next digit in the result. 
Result so far: 553.71
If we subtract 753 from 990, we get 237.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2370, and continue the process.

On to step 9:
753 goes into 2370 3 times with a remainder of 111.
The next digit of our result is 3. 
Result so far: 553.713
If we take 2259 away from 2370, we end up with 111.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1110, and continue the process.

Step 10:
If we divide 1110 by 753, we get 1 and a remainder of 357.
The next digit of our result is 1. 
Result so far: 553.7131
Subtract 753 from 1110 to get 357.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3570, and continue the process.

Step 11:
The number 753 fits into 3570 4 times, leaving a remainder of 558.
Use 4 as the next digit of our solution. 
Result so far: 553.71314
If we subtract 3012 from 3570, we get 558.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5580, and continue the process.

On to step 12:
The number 753 fits into 5580 7 times, leaving a remainder of 309.
Put 7 as the next digit of the answer. 
Result so far: 553.713147
Subtract 5271 from 5580 to get 309.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3090, and continue the process.

Step 13:
The number 753 fits into 3090 4 times, leaving a remainder of 78.
The next digit of our result is 4. 
Result so far: 553.7131474
If we subtract 3012 from 3090, we get 78.
Since there are no more digits in the dividend, we add a zero to the remainder making it 780, and continue the process.

Moving on to step 14:
780 divided by 753 is 1 with a remainder of 27.
Use 1 as the next digit of our solution. 
Result so far: 553.71314741
If we subtract 753 from 780, we get 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

After the division, we end up with 553.71314741 and a remainder of 2.7e-08.