We're dividing 953518 by 31 
We're looking to find how many times 31 goes into 953518.

Going ahead to step 1:
9 divided by 31 is 0 with a remainder of 9.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 9, we end up with 9.
Append the next digit (5) from the dividend to 9 and continue with: 95 / 31

Moving on to step 2:
31 goes into 95 3 times with a remainder of 2.
The number 3 becomes the next digit in our result. 
Result so far: 3.0
Deduct 93 from 95 and we're left with 2.
Include the next digit (3) from the dividend after 2, then repeat: 23 / 31

Step 3:
If we divide 23 by 31, we get 0 and a remainder of 23.
Use 0 as the next digit of our solution. 
Result so far: 30.0
Subtracting 0 from 23 leaves us with 23.
Take the next digit (5) from the dividend and append it to 23, then repeat: 235 / 31

Step 4:
31 goes into 235 7 times with a remainder of 18.
Put 7 as the next digit of the answer. 
Result so far: 307.0
Subtract 217 from 235 to get 18.
Bring next digit (1) of the dividend behind the 18 and repeat the process: 181 / 31

Advancing to step 5:
If we divide 181 by 31, we get 5 and a remainder of 26.
The next digit of our result is 5. 
Result so far: 3075.0
If we take 155 away from 181, we end up with 26.
Append the next digit (8) from the dividend to 26 and continue with: 268 / 31

Let's proceed to step 6:
31 can be fit into 268 8 times, resulting in a remainder of 20.
Record the quotient 8 as the next digit in the result. 
Result so far: 30758.0
The remainder is 20 after subtracting 248 from 268.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Step 7:
When dividing 200 by 31, we get 6 with a remainder of 14.
Record the quotient 6 as the next digit in the result. 
Result so far: 30758.6
Subtract 186 from 200 to get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Let's proceed to step 8:
If we divide 140 by 31, we get 4 and a remainder of 16.
Record the quotient 4 as the next digit in the result. 
Result so far: 30758.64
The remainder is 16 after subtracting 124 from 140.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Advancing to step 9:
When dividing 160 by 31, we get 5 with a remainder of 5.
The next digit of our result is 5. 
Result so far: 30758.645
Deduct 155 from 160 and we're left 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.

Advancing to step 10:
If we divide 50 by 31, we get 1 and a remainder of 19.
Put 1 as the next digit of the answer. 
Result so far: 30758.6451
If we take 31 away from 50, we end up with 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Going ahead to step 11:
When dividing 190 by 31, we get 6 with a remainder of 4.
Record the quotient 6 as the next digit in the result. 
Result so far: 30758.64516
Deduct 186 from 190 and we're left with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Moving on to step 12:
31 goes into 40 1 times with a remainder of 9.
Record the quotient 1 as the next digit in the result. 
Result so far: 30758.645161
If we subtract 31 from 40, we get 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 13:
When dividing 90 by 31, we get 2 with a remainder of 28.
Put 2 as the next digit of the answer. 
Result so far: 30758.6451612
Subtract 62 from 90 to get 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Moving on to step 14:
The number 31 fits into 280 9 times, leaving a remainder of 1.
The number 9 becomes the next digit in our result. 
Result so far: 30758.64516129
Subtract 279 from 280 to get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

In conclusion, the division gives 30758.64516129 with a balance of 1e-09.