402584 ÷ 37 
Our goal is to divide 402584 by 37.

Going ahead to step 1:
When dividing 4 by 37, we get 0 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.
Append the next digit (0) from the dividend to 4 and continue with: 40 / 37

Let's proceed to step 2:
The number 37 fits into 40 1 times, leaving a remainder of 3.
The next digit of our result is 1. 
Result so far: 1.0
If we take 37 away from 40, we end up with 3.
Grab the next digit (2) from the dividend, add it to 3, then carry on: 32 / 37

Advancing to step 3:
The number 37 fits into 32 0 times, leaving a remainder of 32.
Put 0 as the next digit of the answer. 
Result so far: 10.0
Deduct 0 from 32 and we're left with 32.
Append the next digit (5) from the dividend to 32 and continue with: 325 / 37

Advancing to step 4:
37 can be fit into 325 8 times, resulting in a remainder of 29.
The number 8 becomes the next digit in our result. 
Result so far: 108.0
If we subtract 296 from 325, we get 29.
Take the next digit (8) from the dividend and append it to 29, then repeat: 298 / 37

Advancing to step 5:
298 divided by 37 is 8 with a remainder of 2.
Record the quotient 8 as the next digit in the result. 
Result so far: 1088.0
Subtract 296 from 298 to get 2.
Take the next digit (4) from the dividend and append it to 2, then repeat: 24 / 37

Moving on to step 6:
37 goes into 24 0 times with a remainder of 24.
Use 0 as the next digit of our solution. 
Result so far: 10880.0
If we take 0 away from 24, we end up with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Let's proceed to step 7:
37 goes into 240 6 times with a remainder of 18.
Record the quotient 6 as the next digit in the result. 
Result so far: 10880.6
Deduct 222 from 240 and we're left with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Advancing to step 8:
37 can be fit into 180 4 times, resulting in a remainder of 32.
The next digit of our result is 4. 
Result so far: 10880.64
Subtracting 148 from 180 leaves us with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Advancing to step 9:
When dividing 320 by 37, we get 8 with a remainder of 24.
Write down 8 as next digit of the result. 
Result so far: 10880.648
Subtract 296 from 320 to get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Going ahead to step 10:
240 divided by 37 is 6 with a remainder of 18.
Use 6 as the next digit of our solution. 
Result so far: 10880.6486
Deduct 222 from 240 and we're left with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Advancing to step 11:
180 divided by 37 is 4 with a remainder of 32.
Record the quotient 4 as the next digit in the result. 
Result so far: 10880.64864
Subtracting 148 from 180 leaves us with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Moving on to step 12:
When dividing 320 by 37, we get 8 with a remainder of 24.
Put 8 as the next digit of the answer. 
Result so far: 10880.648648
If we subtract 296 from 320, we get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Let's proceed to step 13:
240 divided by 37 is 6 with a remainder of 18.
Record the quotient 6 as the next digit in the result. 
Result so far: 10880.6486486
Subtracting 222 from 240 leaves us with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Going ahead to step 14:
37 can be fit into 180 4 times, resulting in a remainder of 32.
Record the quotient 4 as the next digit in the result. 
Result so far: 10880.64864864
If we take 148 away from 180, we end up with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

The final result is 10880.64864864 with a remainder of 3.2e-08.