Let's divide 43706 by 35
We want to figure out the number of times 43706 can be divided by 35.

Step 1:
35 goes into 4 0 times with a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 4, we get 4.
Append the next digit (3) from the dividend to 4 and continue with: 43 / 35

Step 2:
The number 35 fits into 43 1 times, leaving a remainder of 8.
Put 1 as the next digit of the answer. 
Result so far: 1.0
If we subtract 35 from 43, we get 8.
Bring next digit (7) of the dividend behind the 8 and repeat the process: 87 / 35

Going ahead to step 3:
35 goes into 87 2 times with a remainder of 17.
Write down 2 as next digit of the result. 
Result so far: 12.0
If we take 70 away from 87, we end up with 17.
Grab the next digit (0) from the dividend, add it to 17, then carry on: 170 / 35

Let's proceed to step 4:
170 divided by 35 is 4 with a remainder of 30.
The number 4 becomes the next digit in our result. 
Result so far: 124.0
Deduct 140 from 170 and we're left with 30.
Append the next digit (6) from the dividend to 30 and continue with: 306 / 35

Moving on to step 5:
The number 35 fits into 306 8 times, leaving a remainder of 26.
The next digit of our result is 8. 
Result so far: 1248.0
If we subtract 280 from 306, we get 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Moving on to step 6:
35 goes into 260 7 times with a remainder of 15.
Use 7 as the next digit of our solution. 
Result so far: 1248.7
If we subtract 245 from 260, we 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.

Moving on to step 7:
The number 35 fits into 150 4 times, leaving a remainder of 10.
Use 4 as the next digit of our solution. 
Result so far: 1248.74
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.

Moving on to step 8:
100 divided by 35 is 2 with a remainder of 30.
The number 2 becomes the next digit in our result. 
Result so far: 1248.742
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.

Step 9:
The number 35 fits into 300 8 times, leaving a remainder of 20.
Use 8 as the next digit of our solution. 
Result so far: 1248.7428
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 10:
When dividing 200 by 35, we get 5 with a remainder of 25.
Write down 5 as next digit of the result. 
Result so far: 1248.74285
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 11:
The number 35 fits into 250 7 times, leaving a remainder of 5.
Write down 7 as next digit of the result. 
Result so far: 1248.742857
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.

Moving on to step 12:
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: 1248.7428571
Subtract 35 from 50 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.

Moving on to step 13:
The number 35 fits into 150 4 times, leaving a remainder of 10.
The next digit of our result is 4. 
Result so far: 1248.74285714
Subtracting 140 from 150 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.

The quotient of the division is 1248.74285714, and the remainder is 1e-08.