408302 ÷ 37 
Our goal is to divide 408302 by 37.

On to step 1:
37 goes into 4 0 times with a remainder of 4.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 4 to get 4.
Grab the next digit (0) from the dividend, add it to 4, then carry on: 40 / 37

Advancing to step 2:
37 can be fit into 40 1 times, resulting in a remainder of 3.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Deduct 37 from 40 and we're left with 3.
Include the next digit (8) from the dividend after 3, then repeat: 38 / 37

Step 3:
When dividing 38 by 37, we get 1 with a remainder of 1.
The next digit of our result is 1. 
Result so far: 11.0
Subtracting 37 from 38 leaves us with 1.
Include the next digit (3) from the dividend after 1, then repeat: 13 / 37

Advancing to step 4:
13 divided by 37 is 0 with a remainder of 13.
Record the quotient 0 as the next digit in the result. 
Result so far: 110.0
Subtract 0 from 13 to get 13.
Bring next digit (0) of the dividend behind the 13 and repeat the process: 130 / 37

On to step 5:
130 divided by 37 is 3 with a remainder of 19.
Record the quotient 3 as the next digit in the result. 
Result so far: 1103.0
If we take 111 away from 130, we end up with 19.
Include the next digit (2) from the dividend after 19, then repeat: 192 / 37

Let's proceed to step 6:
If we divide 192 by 37, we get 5 and a remainder of 7.
The number 5 becomes the next digit in our result. 
Result so far: 11035.0
If we subtract 185 from 192, we get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Going ahead to step 7:
70 divided by 37 is 1 with a remainder of 33.
Record the quotient 1 as the next digit in the result. 
Result so far: 11035.1
Subtracting 37 from 70 leaves us with 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

Moving on to step 8:
330 divided by 37 is 8 with a remainder of 34.
Use 8 as the next digit of our solution. 
Result so far: 11035.18
Subtract 296 from 330 to get 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Advancing to step 9:
If we divide 340 by 37, we get 9 and a remainder of 7.
Write down 9 as next digit of the result. 
Result so far: 11035.189
The remainder is 7 after subtracting 333 from 340.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Let's proceed to step 10:
37 goes into 70 1 times with a remainder of 33.
Record the quotient 1 as the next digit in the result. 
Result so far: 11035.1891
Subtracting 37 from 70 leaves us with 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

Step 11:
The number 37 fits into 330 8 times, leaving a remainder of 34.
Write down 8 as next digit of the result. 
Result so far: 11035.18918
The remainder is 34 after subtracting 296 from 330.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Advancing to step 12:
If we divide 340 by 37, we get 9 and a remainder of 7.
Put 9 as the next digit of the answer. 
Result so far: 11035.189189
If we take 333 away from 340, we end up with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Advancing to step 13:
If we divide 70 by 37, we get 1 and a remainder of 33.
Use 1 as the next digit of our solution. 
Result so far: 11035.1891891
Subtracting 37 from 70 leaves us with 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

Advancing to step 14:
37 can be fit into 330 8 times, resulting in a remainder of 34.
The number 8 becomes the next digit in our result. 
Result so far: 11035.18918918
Subtract 296 from 330 to get 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

In conclusion, the division gives 11035.18918918 with a balance of 3.4e-08.