90258774 ÷ 642 
We're looking to find how many times 642 goes into 90258774.

On to step 1:
When dividing 9 by 642, we get 0 with a remainder of 9.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 9 leaves us with 9.
Fetch the next digit (0) from the dividend, attach it to 9 and continue: 90 / 642

Step 2:
90 divided by 642 is 0 with a remainder of 90.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 90 to get 90.
Bring next digit (2) of the dividend behind the 90 and repeat the process: 902 / 642

Advancing to step 3:
When dividing 902 by 642, we get 1 with a remainder of 260.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Deduct 642 from 902 and we're left with 260.
Grab the next digit (5) from the dividend, add it to 260, then carry on: 2605 / 642

Let's proceed to step 4:
When dividing 2605 by 642, we get 4 with a remainder of 37.
Write down 4 as next digit of the result. 
Result so far: 14.0
Deduct 2568 from 2605 and we're left with 37.
Fetch the next digit (8) from the dividend, attach it to 37 and continue: 378 / 642

Moving on to step 5:
The number 642 fits into 378 0 times, leaving a remainder of 378.
Record the quotient 0 as the next digit in the result. 
Result so far: 140.0
Subtracting 0 from 378 leaves us with 378.
Append the next digit (7) from the dividend to 378 and continue with: 3787 / 642

Moving on to step 6:
3787 divided by 642 is 5 with a remainder of 577.
The number 5 becomes the next digit in our result. 
Result so far: 1405.0
Subtract 3210 from 3787 to get 577.
Bring next digit (7) of the dividend behind the 577 and repeat the process: 5777 / 642

Advancing to step 7:
The number 642 fits into 5777 8 times, leaving a remainder of 641.
Record the quotient 8 as the next digit in the result. 
Result so far: 14058.0
The remainder is 641 after subtracting 5136 from 5777.
Include the next digit (4) from the dividend after 641, then repeat: 6414 / 642

Let's proceed to step 8:
642 can be fit into 6414 9 times, resulting in a remainder of 636.
Use 9 as the next digit of our solution. 
Result so far: 140589.0
Subtracting 5778 from 6414 leaves us with 636.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6360, and continue the process.

Moving on to step 9:
642 goes into 6360 9 times with a remainder of 582.
The number 9 becomes the next digit in our result. 
Result so far: 140589.9
If we subtract 5778 from 6360, we get 582.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5820, and continue the process.

On to step 10:
The number 642 fits into 5820 9 times, leaving a remainder of 42.
Write down 9 as next digit of the result. 
Result so far: 140589.99
Subtract 5778 from 5820 to get 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

The quotient of the division is 140589.99, and the remainder is 0.042.