601213 ÷ 53 
We want to divide 601213 by 53.

Going ahead to step 1:
The number 53 fits into 6 0 times, leaving a remainder of 6.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 6 leaves us with 6.
Fetch the next digit (0) from the dividend, attach it to 6 and continue: 60 / 53

Step 2:
If we divide 60 by 53, we get 1 and a remainder of 7.
Write down 1 as next digit of the result. 
Result so far: 1.0
Deduct 53 from 60 and we're left with 7.
Append the next digit (1) from the dividend to 7 and continue with: 71 / 53

Step 3:
When dividing 71 by 53, we get 1 with a remainder of 18.
Record the quotient 1 as the next digit in the result. 
Result so far: 11.0
If we take 53 away from 71, we end up with 18.
Append the next digit (2) from the dividend to 18 and continue with: 182 / 53

Going ahead to step 4:
53 can be fit into 182 3 times, resulting in a remainder of 23.
Record the quotient 3 as the next digit in the result. 
Result so far: 113.0
If we subtract 159 from 182, we get 23.
Bring next digit (1) of the dividend behind the 23 and repeat the process: 231 / 53

Advancing to step 5:
The number 53 fits into 231 4 times, leaving a remainder of 19.
Put 4 as the next digit of the answer. 
Result so far: 1134.0
Deduct 212 from 231 and we're left with 19.
Include the next digit (3) from the dividend after 19, then repeat: 193 / 53

On to step 6:
193 divided by 53 is 3 with a remainder of 34.
The number 3 becomes the next digit in our result. 
Result so far: 11343.0
If we take 159 away from 193, we end up with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Step 7:
The number 53 fits into 340 6 times, leaving a remainder of 22.
Record the quotient 6 as the next digit in the result. 
Result so far: 11343.6
If we subtract 318 from 340, we get 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Moving on to step 8:
The number 53 fits into 220 4 times, leaving a remainder of 8.
Record the quotient 4 as the next digit in the result. 
Result so far: 11343.64
If we subtract 212 from 220, we get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

On to step 9:
When dividing 80 by 53, we get 1 with a remainder of 27.
The next digit of our result is 1. 
Result so far: 11343.641
Subtract 53 from 80 to 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.

Advancing to step 10:
If we divide 270 by 53, we get 5 and a remainder of 5.
Use 5 as the next digit of our solution. 
Result so far: 11343.6415
Subtracting 265 from 270 leaves us with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

On to step 11:
53 can be fit into 50 0 times, resulting in a remainder of 50.
Record the quotient 0 as the next digit in the result. 
Result so far: 11343.6415
If we subtract 0 from 50, we get 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Advancing to step 12:
500 divided by 53 is 9 with a remainder of 23.
The number 9 becomes the next digit in our result. 
Result so far: 11343.641509
Deduct 477 from 500 and we're left with 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Let's proceed to step 13:
53 goes into 230 4 times with a remainder of 18.
Use 4 as the next digit of our solution. 
Result so far: 11343.6415094
The remainder is 18 after subtracting 212 from 230.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Going ahead to step 14:
When dividing 180 by 53, we get 3 with a remainder of 21.
Write down 3 as next digit of the result. 
Result so far: 11343.64150943
The remainder is 21 after subtracting 159 from 180.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

The quotient of the division is 11343.64150943, and the remainder is 2.1e-08.