42523590 ÷ 586 
We want to figure out the number of times 42523590 can be divided by 586.

Step 1:
The number 586 fits into 4 0 times, leaving a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 4 to get 4.
Grab the next digit (2) from the dividend, add it to 4, then carry on: 42 / 586

Step 2:
586 can be fit into 42 0 times, resulting in a remainder of 42.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 42, we end up with 42.
Grab the next digit (5) from the dividend, add it to 42, then carry on: 425 / 586

Advancing to step 3:
425 divided by 586 is 0 with a remainder of 425.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 425, we get 425.
Bring next digit (2) of the dividend behind the 425 and repeat the process: 4252 / 586

Going ahead to step 4:
When dividing 4252 by 586, we get 7 with a remainder of 150.
Write down 7 as next digit of the result. 
Result so far: 7.0
If we take 4102 away from 4252, we end up with 150.
Append the next digit (3) from the dividend to 150 and continue with: 1503 / 586

Moving on to step 5:
586 goes into 1503 2 times with a remainder of 331.
The number 2 becomes the next digit in our result. 
Result so far: 72.0
Subtract 1172 from 1503 to get 331.
Take the next digit (5) from the dividend and append it to 331, then repeat: 3315 / 586

On to step 6:
When dividing 3315 by 586, we get 5 with a remainder of 385.
Put 5 as the next digit of the answer. 
Result so far: 725.0
If we subtract 2930 from 3315, we get 385.
Fetch the next digit (9) from the dividend, attach it to 385 and continue: 3859 / 586

Step 7:
586 can be fit into 3859 6 times, resulting in a remainder of 343.
Use 6 as the next digit of our solution. 
Result so far: 7256.0
Subtract 3516 from 3859 to get 343.
Include the next digit (0) from the dividend after 343, then repeat: 3430 / 586

Step 8:
The number 586 fits into 3430 5 times, leaving a remainder of 500.
Put 5 as the next digit of the answer. 
Result so far: 72565.0
Subtract 2930 from 3430 to get 500.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5000, and continue the process.

Step 9:
The number 586 fits into 5000 8 times, leaving a remainder of 312.
Write down 8 as next digit of the result. 
Result so far: 72565.8
If we subtract 4688 from 5000, we get 312.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3120, and continue the process.

Moving on to step 10:
The number 586 fits into 3120 5 times, leaving a remainder of 190.
The number 5 becomes the next digit in our result. 
Result so far: 72565.85
Subtracting 2930 from 3120 leaves us with 190.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1900, and continue the process.

Advancing to step 11:
586 goes into 1900 3 times with a remainder of 142.
The number 3 becomes the next digit in our result. 
Result so far: 72565.853
Deduct 1758 from 1900 and we're left with 142.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1420, and continue the process.

Let's proceed to step 12:
586 goes into 1420 2 times with a remainder of 248.
Put 2 as the next digit of the answer. 
Result so far: 72565.8532
The remainder is 248 after subtracting 1172 from 1420.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2480, and continue the process.

Advancing to step 13:
586 goes into 2480 4 times with a remainder of 136.
The number 4 becomes the next digit in our result. 
Result so far: 72565.85324
If we subtract 2344 from 2480, we get 136.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1360, and continue the process.

Let's proceed to step 14:
1360 divided by 586 is 2 with a remainder of 188.
The number 2 becomes the next digit in our result. 
Result so far: 72565.853242
Subtract 1172 from 1360 to get 188.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1880, and continue the process.

Moving on to step 15:
When dividing 1880 by 586, we get 3 with a remainder of 122.
Use 3 as the next digit of our solution. 
Result so far: 72565.8532423
If we take 1758 away from 1880, we end up with 122.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1220, and continue the process.

On to step 16:
The number 586 fits into 1220 2 times, leaving a remainder of 48.
The number 2 becomes the next digit in our result. 
Result so far: 72565.85324232
Subtracting 1172 from 1220 leaves us with 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

After the division, we end up with 72565.85324232 and a remainder of 4.8e-08.