We're dividing 953874 by 35 
Let's see how many times 35 fits into 953874.

Advancing to step 1:
When dividing 9 by 35, we get 0 with a remainder of 9.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 9, we end up with 9.
Take the next digit (5) from the dividend and append it to 9, then repeat: 95 / 35

Let's proceed to step 2:
95 divided by 35 is 2 with a remainder of 25.
The next digit of our result is 2. 
Result so far: 2.0
If we subtract 70 from 95, we get 25.
Bring next digit (3) of the dividend behind the 25 and repeat the process: 253 / 35

Step 3:
35 goes into 253 7 times with a remainder of 8.
Use 7 as the next digit of our solution. 
Result so far: 27.0
Deduct 245 from 253 and we're left with 8.
Append the next digit (8) from the dividend to 8 and continue with: 88 / 35

Going ahead to step 4:
If we divide 88 by 35, we get 2 and a remainder of 18.
Use 2 as the next digit of our solution. 
Result so far: 272.0
If we take 70 away from 88, we end up with 18.
Append the next digit (7) from the dividend to 18 and continue with: 187 / 35

Going ahead to step 5:
The number 35 fits into 187 5 times, leaving a remainder of 12.
The number 5 becomes the next digit in our result. 
Result so far: 2725.0
Subtract 175 from 187 to get 12.
Fetch the next digit (4) from the dividend, attach it to 12 and continue: 124 / 35

Advancing to step 6:
35 can be fit into 124 3 times, resulting in a remainder of 19.
The number 3 becomes the next digit in our result. 
Result so far: 27253.0
Deduct 105 from 124 and we're left 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.

Moving on to step 7:
35 can be fit into 190 5 times, resulting in a remainder of 15.
Write down 5 as next digit of the result. 
Result so far: 27253.5
Subtract 175 from 190 to get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

On to step 8:
35 goes into 150 4 times with a remainder of 10.
Write down 4 as next digit of the result. 
Result so far: 27253.54
The remainder is 10 after subtracting 140 from 150.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Step 9:
When dividing 100 by 35, we get 2 with a remainder of 30.
The next digit of our result is 2. 
Result so far: 27253.542
The remainder is 30 after subtracting 70 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Advancing to step 10:
35 can be fit into 300 8 times, resulting in a remainder of 20.
The number 8 becomes the next digit in our result. 
Result so far: 27253.5428
Deduct 280 from 300 and we're left with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

On to step 11:
If we divide 200 by 35, we get 5 and a remainder of 25.
Use 5 as the next digit of our solution. 
Result so far: 27253.54285
Subtracting 175 from 200 leaves us with 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 12:
250 divided by 35 is 7 with a remainder of 5.
Use 7 as the next digit of our solution. 
Result so far: 27253.542857
The remainder is 5 after subtracting 245 from 250.
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 13:
When dividing 50 by 35, we get 1 with a remainder of 15.
Write down 1 as next digit of the result. 
Result so far: 27253.5428571
If we take 35 away from 50, we end up with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Advancing to step 14:
150 divided by 35 is 4 with a remainder of 10.
Record the quotient 4 as the next digit in the result. 
Result so far: 27253.54285714
Deduct 140 from 150 and we're left 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.

The quotient of the division is 27253.54285714, and the remainder is 1e-08.