We're dividing 307435 by 84 
Our goal is to divide 307435 by 84.

Advancing to step 1:
84 goes into 3 0 times with a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 3 after subtracting 0 from 3.
Include the next digit (0) from the dividend after 3, then repeat: 30 / 84

On to step 2:
The number 84 fits into 30 0 times, leaving a remainder of 30.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 30 to get 30.
Take the next digit (7) from the dividend and append it to 30, then repeat: 307 / 84

Advancing to step 3:
If we divide 307 by 84, we get 3 and a remainder of 55.
Write down 3 as next digit of the result. 
Result so far: 3.0
The remainder is 55 after subtracting 252 from 307.
Grab the next digit (4) from the dividend, add it to 55, then carry on: 554 / 84

On to step 4:
If we divide 554 by 84, we get 6 and a remainder of 50.
The number 6 becomes the next digit in our result. 
Result so far: 36.0
Subtract 504 from 554 to get 50.
Fetch the next digit (3) from the dividend, attach it to 50 and continue: 503 / 84

Going ahead to step 5:
If we divide 503 by 84, we get 5 and a remainder of 83.
The number 5 becomes the next digit in our result. 
Result so far: 365.0
Subtract 420 from 503 to get 83.
Include the next digit (5) from the dividend after 83, then repeat: 835 / 84

Advancing to step 6:
When dividing 835 by 84, we get 9 with a remainder of 79.
Record the quotient 9 as the next digit in the result. 
Result so far: 3659.0
Subtract 756 from 835 to get 79.
Since there are no more digits in the dividend, we add a zero to the remainder making it 790, and continue the process.

On to step 7:
790 divided by 84 is 9 with a remainder of 34.
The number 9 becomes the next digit in our result. 
Result so far: 3659.9
Deduct 756 from 790 and we're left with 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 8:
When dividing 340 by 84, we get 4 with a remainder of 4.
Record the quotient 4 as the next digit in the result. 
Result so far: 3659.94
If we subtract 336 from 340, we get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

On to step 9:
The number 84 fits into 40 0 times, leaving a remainder of 40.
Use 0 as the next digit of our solution. 
Result so far: 3659.94
If we take 0 away from 40, we end up with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Step 10:
When dividing 400 by 84, we get 4 with a remainder of 64.
Write down 4 as next digit of the result. 
Result so far: 3659.9404
Deduct 336 from 400 and we're left with 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

On to step 11:
The number 84 fits into 640 7 times, leaving a remainder of 52.
Write down 7 as next digit of the result. 
Result so far: 3659.94047
The remainder is 52 after subtracting 588 from 640.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Going ahead to step 12:
When dividing 520 by 84, we get 6 with a remainder of 16.
Record the quotient 6 as the next digit in the result. 
Result so far: 3659.940476
Deduct 504 from 520 and we're left with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Let's proceed to step 13:
160 divided by 84 is 1 with a remainder of 76.
Use 1 as the next digit of our solution. 
Result so far: 3659.9404761
The remainder is 76 after subtracting 84 from 160.
Since there are no more digits in the dividend, we add a zero to the remainder making it 760, and continue the process.

On to step 14:
84 can be fit into 760 9 times, resulting in a remainder of 4.
Record the quotient 9 as the next digit in the result. 
Result so far: 3659.94047619
If we subtract 756 from 760, we get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

The quotient of the division is 3659.94047619, and the remainder is 4e-09.