We look at the division of 46669 by 53 
Our goal is to divide 46669 by 53.

Step 1:
53 goes into 4 0 times with a remainder of 4.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 4 and we're left with 4.
Fetch the next digit (6) from the dividend, attach it to 4 and continue: 46 / 53

Advancing to step 2:
When dividing 46 by 53, we get 0 with a remainder of 46.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 46 and we're left with 46.
Take the next digit (6) from the dividend and append it to 46, then repeat: 466 / 53

On to step 3:
53 goes into 466 8 times with a remainder of 42.
The next digit of our result is 8. 
Result so far: 8.0
The remainder is 42 after subtracting 424 from 466.
Grab the next digit (6) from the dividend, add it to 42, then carry on: 426 / 53

Step 4:
If we divide 426 by 53, we get 8 and a remainder of 2.
Write down 8 as next digit of the result. 
Result so far: 88.0
Deduct 424 from 426 and we're left with 2.
Include the next digit (9) from the dividend after 2, then repeat: 29 / 53

Advancing to step 5:
If we divide 29 by 53, we get 0 and a remainder of 29.
Put 0 as the next digit of the answer. 
Result so far: 880.0
Deduct 0 from 29 and we're left with 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Going ahead to step 6:
53 can be fit into 290 5 times, resulting in a remainder of 25.
Write down 5 as next digit of the result. 
Result so far: 880.5
Subtract 265 from 290 to get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Step 7:
53 goes into 250 4 times with a remainder of 38.
Record the quotient 4 as the next digit in the result. 
Result so far: 880.54
Subtracting 212 from 250 leaves us with 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

On to step 8:
The number 53 fits into 380 7 times, leaving a remainder of 9.
Use 7 as the next digit of our solution. 
Result so far: 880.547
Subtracting 371 from 380 leaves us with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Going ahead to step 9:
When dividing 90 by 53, we get 1 with a remainder of 37.
Write down 1 as next digit of the result. 
Result so far: 880.5471
Subtract 53 from 90 to get 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

On to step 10:
53 can be fit into 370 6 times, resulting in a remainder of 52.
Use 6 as the next digit of our solution. 
Result so far: 880.54716
Subtracting 318 from 370 leaves us with 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Step 11:
When dividing 520 by 53, we get 9 with a remainder of 43.
The number 9 becomes the next digit in our result. 
Result so far: 880.547169
Subtracting 477 from 520 leaves us with 43.
Since there are no more digits in the dividend, we add a zero to the remainder making it 430, and continue the process.

Moving on to step 12:
If we divide 430 by 53, we get 8 and a remainder of 6.
Put 8 as the next digit of the answer. 
Result so far: 880.5471698
If we subtract 424 from 430, we get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Advancing to step 13:
The number 53 fits into 60 1 times, leaving a remainder of 7.
Use 1 as the next digit of our solution. 
Result so far: 880.54716981
Deduct 53 from 60 and we're left with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

The quotient of the division is 880.54716981, and the remainder is 7e-09.