We're dividing 657946 by 213 
Our goal is to divide 657946 by 213.

Step 1:
213 can be fit into 6 0 times, resulting in a remainder of 6.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 6, we end up with 6.
Append the next digit (5) from the dividend to 6 and continue with: 65 / 213

Advancing to step 2:
If we divide 65 by 213, we get 0 and a remainder of 65.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 65, we get 65.
Bring next digit (7) of the dividend behind the 65 and repeat the process: 657 / 213

On to step 3:
657 divided by 213 is 3 with a remainder of 18.
Write down 3 as next digit of the result. 
Result so far: 3.0
Deduct 639 from 657 and we're left with 18.
Include the next digit (9) from the dividend after 18, then repeat: 189 / 213

Step 4:
213 can be fit into 189 0 times, resulting in a remainder of 189.
The next digit of our result is 0. 
Result so far: 30.0
If we subtract 0 from 189, we get 189.
Bring next digit (4) of the dividend behind the 189 and repeat the process: 1894 / 213

Going ahead to step 5:
When dividing 1894 by 213, we get 8 with a remainder of 190.
Use 8 as the next digit of our solution. 
Result so far: 308.0
If we take 1704 away from 1894, we end up with 190.
Bring next digit (6) of the dividend behind the 190 and repeat the process: 1906 / 213

Step 6:
1906 divided by 213 is 8 with a remainder of 202.
Record the quotient 8 as the next digit in the result. 
Result so far: 3088.0
If we subtract 1704 from 1906, we get 202.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2020, and continue the process.

Going ahead to step 7:
2020 divided by 213 is 9 with a remainder of 103.
Write down 9 as next digit of the result. 
Result so far: 3088.9
Subtract 1917 from 2020 to get 103.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1030, and continue the process.

Let's proceed to step 8:
When dividing 1030 by 213, we get 4 with a remainder of 178.
The number 4 becomes the next digit in our result. 
Result so far: 3088.94
If we subtract 852 from 1030, we get 178.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1780, and continue the process.

Let's proceed to step 9:
The number 213 fits into 1780 8 times, leaving a remainder of 76.
Record the quotient 8 as the next digit in the result. 
Result so far: 3088.948
If we take 1704 away from 1780, we end up with 76.
Since there are no more digits in the dividend, we add a zero to the remainder making it 760, and continue the process.

Moving on to step 10:
760 divided by 213 is 3 with a remainder of 121.
Use 3 as the next digit of our solution. 
Result so far: 3088.9483
The remainder is 121 after subtracting 639 from 760.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1210, and continue the process.

Advancing to step 11:
213 can be fit into 1210 5 times, resulting in a remainder of 145.
Record the quotient 5 as the next digit in the result. 
Result so far: 3088.94835
Subtracting 1065 from 1210 leaves us with 145.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1450, and continue the process.

Advancing to step 12:
213 can be fit into 1450 6 times, resulting in a remainder of 172.
The number 6 becomes the next digit in our result. 
Result so far: 3088.948356
Subtracting 1278 from 1450 leaves us with 172.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1720, and continue the process.

Going ahead to step 13:
1720 divided by 213 is 8 with a remainder of 16.
Write down 8 as next digit of the result. 
Result so far: 3088.9483568
If we take 1704 away from 1720, we end up with 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 14:
213 can be fit into 160 0 times, resulting in a remainder of 160.
Use 0 as the next digit of our solution. 
Result so far: 3088.9483568
If we take 0 away from 160, we end up with 160.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1600, and continue the process.

In conclusion, the division gives 3088.9483568 with a balance of 1.6e-07.