We're dividing 437674 by 86 
We want to divide 437674 by 86.

Step 1:
When dividing 4 by 86, we get 0 with a remainder of 4.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 4, we get 4.
Bring next digit (3) of the dividend behind the 4 and repeat the process: 43 / 86

Moving on to step 2:
When dividing 43 by 86, we get 0 with a remainder of 43.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 43 and we're left with 43.
Bring next digit (7) of the dividend behind the 43 and repeat the process: 437 / 86

Step 3:
The number 86 fits into 437 5 times, leaving a remainder of 7.
Put 5 as the next digit of the answer. 
Result so far: 5.0
The remainder is 7 after subtracting 430 from 437.
Grab the next digit (6) from the dividend, add it to 7, then carry on: 76 / 86

Advancing to step 4:
86 can be fit into 76 0 times, resulting in a remainder of 76.
The number 0 becomes the next digit in our result. 
Result so far: 50.0
If we subtract 0 from 76, we get 76.
Fetch the next digit (7) from the dividend, attach it to 76 and continue: 767 / 86

On to step 5:
86 can be fit into 767 8 times, resulting in a remainder of 79.
Put 8 as the next digit of the answer. 
Result so far: 508.0
Deduct 688 from 767 and we're left with 79.
Take the next digit (4) from the dividend and append it to 79, then repeat: 794 / 86

Moving on to step 6:
When dividing 794 by 86, we get 9 with a remainder of 20.
The next digit of our result is 9. 
Result so far: 5089.0
The remainder is 20 after subtracting 774 from 794.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Step 7:
The number 86 fits into 200 2 times, leaving a remainder of 28.
Put 2 as the next digit of the answer. 
Result so far: 5089.2
Subtract 172 from 200 to get 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Moving on to step 8:
86 can be fit into 280 3 times, resulting in a remainder of 22.
Use 3 as the next digit of our solution. 
Result so far: 5089.23
Subtract 258 from 280 to get 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Advancing to step 9:
When dividing 220 by 86, we get 2 with a remainder of 48.
The number 2 becomes the next digit in our result. 
Result so far: 5089.232
If we take 172 away from 220, we end up 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.

Advancing to step 10:
When dividing 480 by 86, we get 5 with a remainder of 50.
The number 5 becomes the next digit in our result. 
Result so far: 5089.2325
If we take 430 away from 480, we end up with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Let's proceed to step 11:
500 divided by 86 is 5 with a remainder of 70.
Record the quotient 5 as the next digit in the result. 
Result so far: 5089.23255
Subtracting 430 from 500 leaves us with 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

After the division, we end up with 5089.23255 and a remainder of 7e-05.