We divide 946648 by 53
We're looking to find how many times 53 goes into 946648.

On to step 1:
53 goes into 9 0 times with a remainder of 9.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 9 after subtracting 0 from 9.
Include the next digit (4) from the dividend after 9, then repeat: 94 / 53

Advancing to step 2:
The number 53 fits into 94 1 times, leaving a remainder of 41.
Write down 1 as next digit of the result. 
Result so far: 1.0
Deduct 53 from 94 and we're left with 41.
Bring next digit (6) of the dividend behind the 41 and repeat the process: 416 / 53

Going ahead to step 3:
The number 53 fits into 416 7 times, leaving a remainder of 45.
Put 7 as the next digit of the answer. 
Result so far: 17.0
If we take 371 away from 416, we end up with 45.
Include the next digit (6) from the dividend after 45, then repeat: 456 / 53

Let's proceed to step 4:
456 divided by 53 is 8 with a remainder of 32.
Use 8 as the next digit of our solution. 
Result so far: 178.0
If we subtract 424 from 456, we get 32.
Take the next digit (4) from the dividend and append it to 32, then repeat: 324 / 53

On to step 5:
The number 53 fits into 324 6 times, leaving a remainder of 6.
Use 6 as the next digit of our solution. 
Result so far: 1786.0
If we take 318 away from 324, we end up with 6.
Grab the next digit (8) from the dividend, add it to 6, then carry on: 68 / 53

Advancing to step 6:
The number 53 fits into 68 1 times, leaving a remainder of 15.
The number 1 becomes the next digit in our result. 
Result so far: 17861.0
If we take 53 away from 68, we end up with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Step 7:
53 can be fit into 150 2 times, resulting in a remainder of 44.
Record the quotient 2 as the next digit in the result. 
Result so far: 17861.2
Subtract 106 from 150 to get 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Going ahead to step 8:
53 goes into 440 8 times with a remainder of 16.
Write down 8 as next digit of the result. 
Result so far: 17861.28
If we subtract 424 from 440, we get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Let's proceed to step 9:
160 divided by 53 is 3 with a remainder of 1.
Record the quotient 3 as the next digit in the result. 
Result so far: 17861.283
If we take 159 away from 160, we end up with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Going ahead to step 10:
53 can be fit into 10 0 times, resulting in a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 17861.283
Subtract 0 from 10 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Step 11:
53 goes into 100 1 times with a remainder of 47.
Record the quotient 1 as the next digit in the result. 
Result so far: 17861.28301
Deduct 53 from 100 and we're left with 47.
Since there are no more digits in the dividend, we add a zero to the remainder making it 470, and continue the process.

Going ahead to step 12:
The number 53 fits into 470 8 times, leaving a remainder of 46.
Record the quotient 8 as the next digit in the result. 
Result so far: 17861.283018
Subtracting 424 from 470 leaves us with 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

On to step 13:
53 goes into 460 8 times with a remainder of 36.
Use 8 as the next digit of our solution. 
Result so far: 17861.2830188
Subtract 424 from 460 to get 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

In conclusion, the division gives 17861.2830188 with a balance of 3.6e-07.