513123 divided by 70 
Our goal is to divide 513123 by 70.

Moving on to step 1:
5 divided by 70 is 0 with a remainder of 5.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 5 leaves us with 5.
Append the next digit (1) from the dividend to 5 and continue with: 51 / 70

Going ahead to step 2:
70 can be fit into 51 0 times, resulting in a remainder of 51.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 51 to get 51.
Take the next digit (3) from the dividend and append it to 51, then repeat: 513 / 70

Moving on to step 3:
70 can be fit into 513 7 times, resulting in a remainder of 23.
The number 7 becomes the next digit in our result. 
Result so far: 7.0
Deduct 490 from 513 and we're left with 23.
Bring next digit (1) of the dividend behind the 23 and repeat the process: 231 / 70

Going ahead to step 4:
The number 70 fits into 231 3 times, leaving a remainder of 21.
Write down 3 as next digit of the result. 
Result so far: 73.0
Subtracting 210 from 231 leaves us with 21.
Append the next digit (2) from the dividend to 21 and continue with: 212 / 70

Going ahead to step 5:
212 divided by 70 is 3 with a remainder of 2.
Put 3 as the next digit of the answer. 
Result so far: 733.0
Subtracting 210 from 212 leaves us with 2.
Take the next digit (3) from the dividend and append it to 2, then repeat: 23 / 70

On to step 6:
70 can be fit into 23 0 times, resulting in a remainder of 23.
Put 0 as the next digit of the answer. 
Result so far: 7330.0
Subtract 0 from 23 to get 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Going ahead to step 7:
230 divided by 70 is 3 with a remainder of 20.
The next digit of our result is 3. 
Result so far: 7330.3
Subtract 210 from 230 to get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Step 8:
200 divided by 70 is 2 with a remainder of 60.
The number 2 becomes the next digit in our result. 
Result so far: 7330.32
Subtract 140 from 200 to get 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Advancing to step 9:
70 goes into 600 8 times with a remainder of 40.
Record the quotient 8 as the next digit in the result. 
Result so far: 7330.328
Subtract 560 from 600 to get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Going ahead to step 10:
70 can be fit into 400 5 times, resulting in a remainder of 50.
Use 5 as the next digit of our solution. 
Result so far: 7330.3285
Subtract 350 from 400 to 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.

Step 11:
500 divided by 70 is 7 with a remainder of 10.
Record the quotient 7 as the next digit in the result. 
Result so far: 7330.32857
Subtracting 490 from 500 leaves us with 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 12:
70 goes into 100 1 times with a remainder of 30.
Put 1 as the next digit of the answer. 
Result so far: 7330.328571
If we subtract 70 from 100, we get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Let's proceed to step 13:
300 divided by 70 is 4 with a remainder of 20.
Use 4 as the next digit of our solution. 
Result so far: 7330.3285714
Subtract 280 from 300 to get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Moving on to step 14:
If we divide 200 by 70, we get 2 and a remainder of 60.
Use 2 as the next digit of our solution. 
Result so far: 7330.32857142
If we take 140 away from 200, we end up with 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

In conclusion, the division gives 7330.32857142 with a balance of 6e-08.