Let's divide 419442 by 87
Our goal is to divide 419442 by 87.

Advancing to step 1:
The number 87 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
The remainder is 4 after subtracting 0 from 4.
Bring next digit (1) of the dividend behind the 4 and repeat the process: 41 / 87

Let's proceed to step 2:
41 divided by 87 is 0 with a remainder of 41.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 41, we end up with 41.
Fetch the next digit (9) from the dividend, attach it to 41 and continue: 419 / 87

Moving on to step 3:
87 can be fit into 419 4 times, resulting in a remainder of 71.
Use 4 as the next digit of our solution. 
Result so far: 4.0
Subtract 348 from 419 to get 71.
Grab the next digit (4) from the dividend, add it to 71, then carry on: 714 / 87

Moving on to step 4:
When dividing 714 by 87, we get 8 with a remainder of 18.
Write down 8 as next digit of the result. 
Result so far: 48.0
Subtracting 696 from 714 leaves us with 18.
Fetch the next digit (4) from the dividend, attach it to 18 and continue: 184 / 87

Moving on to step 5:
87 goes into 184 2 times with a remainder of 10.
Write down 2 as next digit of the result. 
Result so far: 482.0
Deduct 174 from 184 and we're left with 10.
Append the next digit (2) from the dividend to 10 and continue with: 102 / 87

Step 6:
87 can be fit into 102 1 times, resulting in a remainder of 15.
Put 1 as the next digit of the answer. 
Result so far: 4821.0
Deduct 87 from 102 and we're left with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Advancing to step 7:
When dividing 150 by 87, we get 1 with a remainder of 63.
Record the quotient 1 as the next digit in the result. 
Result so far: 4821.1
Deduct 87 from 150 and we're left with 63.
Since there are no more digits in the dividend, we add a zero to the remainder making it 630, and continue the process.

On to step 8:
630 divided by 87 is 7 with a remainder of 21.
The number 7 becomes the next digit in our result. 
Result so far: 4821.17
If we subtract 609 from 630, we get 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

On to step 9:
When dividing 210 by 87, we get 2 with a remainder of 36.
The number 2 becomes the next digit in our result. 
Result so far: 4821.172
Subtract 174 from 210 to get 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Moving on to step 10:
360 divided by 87 is 4 with a remainder of 12.
The next digit of our result is 4. 
Result so far: 4821.1724
If we take 348 away from 360, we end up with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Moving on to step 11:
120 divided by 87 is 1 with a remainder of 33.
The next digit of our result is 1. 
Result so far: 4821.17241
If we take 87 away from 120, we end up 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 12:
330 divided by 87 is 3 with a remainder of 69.
Put 3 as the next digit of the answer. 
Result so far: 4821.172413
Deduct 261 from 330 and we're left with 69.
Since there are no more digits in the dividend, we add a zero to the remainder making it 690, and continue the process.

Let's proceed to step 13:
87 goes into 690 7 times with a remainder of 81.
Use 7 as the next digit of our solution. 
Result so far: 4821.1724137
The remainder is 81 after subtracting 609 from 690.
Since there are no more digits in the dividend, we add a zero to the remainder making it 810, and continue the process.

Going ahead to step 14:
87 goes into 810 9 times with a remainder of 27.
Write down 9 as next digit of the result. 
Result so far: 4821.17241379
Deduct 783 from 810 and we're left with 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

In conclusion, the division gives 4821.17241379 with a balance of 2.7e-08.