We're dividing 435311 by 37 
Our goal is to divide 435311 by 37.

Advancing to step 1:
The number 37 fits into 4 0 times, leaving a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 4 after subtracting 0 from 4.
Append the next digit (3) from the dividend to 4 and continue with: 43 / 37

Step 2:
37 goes into 43 1 times with a remainder of 6.
Put 1 as the next digit of the answer. 
Result so far: 1.0
The remainder is 6 after subtracting 37 from 43.
Grab the next digit (5) from the dividend, add it to 6, then carry on: 65 / 37

On to step 3:
65 divided by 37 is 1 with a remainder of 28.
Use 1 as the next digit of our solution. 
Result so far: 11.0
If we subtract 37 from 65, we get 28.
Append the next digit (3) from the dividend to 28 and continue with: 283 / 37

Let's proceed to step 4:
37 can be fit into 283 7 times, resulting in a remainder of 24.
Use 7 as the next digit of our solution. 
Result so far: 117.0
If we take 259 away from 283, we end up with 24.
Append the next digit (1) from the dividend to 24 and continue with: 241 / 37

Let's proceed to step 5:
If we divide 241 by 37, we get 6 and a remainder of 19.
The number 6 becomes the next digit in our result. 
Result so far: 1176.0
The remainder is 19 after subtracting 222 from 241.
Grab the next digit (1) from the dividend, add it to 19, then carry on: 191 / 37

Moving on to step 6:
37 goes into 191 5 times with a remainder of 6.
The next digit of our result is 5. 
Result so far: 11765.0
Deduct 185 from 191 and we're left with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Step 7:
60 divided by 37 is 1 with a remainder of 23.
Put 1 as the next digit of the answer. 
Result so far: 11765.1
Subtracting 37 from 60 leaves us with 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Going ahead to step 8:
37 goes into 230 6 times with a remainder of 8.
Use 6 as the next digit of our solution. 
Result so far: 11765.16
Deduct 222 from 230 and we're left with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

On to step 9:
37 can be fit into 80 2 times, resulting in a remainder of 6.
Record the quotient 2 as the next digit in the result. 
Result so far: 11765.162
Deduct 74 from 80 and we're left with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Advancing to step 10:
37 can be fit into 60 1 times, resulting in a remainder of 23.
The number 1 becomes the next digit in our result. 
Result so far: 11765.1621
If we subtract 37 from 60, we get 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Going ahead to step 11:
The number 37 fits into 230 6 times, leaving a remainder of 8.
The number 6 becomes the next digit in our result. 
Result so far: 11765.16216
Subtract 222 from 230 to get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Step 12:
37 goes into 80 2 times with a remainder of 6.
The number 2 becomes the next digit in our result. 
Result so far: 11765.162162
Subtract 74 from 80 to get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Step 13:
37 goes into 60 1 times with a remainder of 23.
Write down 1 as next digit of the result. 
Result so far: 11765.1621621
If we subtract 37 from 60, we get 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

On to step 14:
The number 37 fits into 230 6 times, leaving a remainder of 8.
Record the quotient 6 as the next digit in the result. 
Result so far: 11765.16216216
Subtracting 222 from 230 leaves us with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

In conclusion, the division gives 11765.16216216 with a balance of 8e-09.