Let's divide 37134 by 35
Our goal is to divide 37134 by 35.

Step 1:
If we divide 3 by 35, we get 0 and a remainder of 3.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 3, we end up with 3.
Include the next digit (7) from the dividend after 3, then repeat: 37 / 35

Step 2:
If we divide 37 by 35, we get 1 and a remainder of 2.
Put 1 as the next digit of the answer. 
Result so far: 1.0
If we take 35 away from 37, we end up with 2.
Take the next digit (1) from the dividend and append it to 2, then repeat: 21 / 35

Going ahead to step 3:
If we divide 21 by 35, we get 0 and a remainder of 21.
The next digit of our result is 0. 
Result so far: 10.0
Subtracting 0 from 21 leaves us with 21.
Take the next digit (3) from the dividend and append it to 21, then repeat: 213 / 35

Going ahead to step 4:
35 goes into 213 6 times with a remainder of 3.
Put 6 as the next digit of the answer. 
Result so far: 106.0
Subtract 210 from 213 to get 3.
Include the next digit (4) from the dividend after 3, then repeat: 34 / 35

Going ahead to step 5:
The number 35 fits into 34 0 times, leaving a remainder of 34.
Write down 0 as next digit of the result. 
Result so far: 1060.0
The remainder is 34 after subtracting 0 from 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 6:
340 divided by 35 is 9 with a remainder of 25.
The number 9 becomes the next digit in our result. 
Result so far: 1060.9
If we take 315 away from 340, we end up 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.

Going ahead to step 7:
When dividing 250 by 35, we get 7 with a remainder of 5.
The next digit of our result is 7. 
Result so far: 1060.97
If we subtract 245 from 250, we get 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 8:
If we divide 50 by 35, we get 1 and a remainder of 15.
Record the quotient 1 as the next digit in the result. 
Result so far: 1060.971
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 9:
If we divide 150 by 35, we get 4 and a remainder of 10.
Record the quotient 4 as the next digit in the result. 
Result so far: 1060.9714
If we take 140 away from 150, we end up 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.

Going ahead to step 10:
When dividing 100 by 35, we get 2 with a remainder of 30.
The next digit of our result is 2. 
Result so far: 1060.97142
Subtract 70 from 100 to 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.

Going ahead to step 11:
The number 35 fits into 300 8 times, leaving a remainder of 20.
The number 8 becomes the next digit in our result. 
Result so far: 1060.971428
The remainder is 20 after subtracting 280 from 300.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Advancing to step 12:
If we divide 200 by 35, we get 5 and a remainder of 25.
Write down 5 as next digit of the result. 
Result so far: 1060.9714285
Subtract 175 from 200 to get 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 13:
35 goes into 250 7 times with a remainder of 5.
Record the quotient 7 as the next digit in the result. 
Result so far: 1060.97142857
If we take 245 away from 250, we end up 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.

The quotient of the division is 1060.97142857, and the remainder is 5e-09.