645377 ÷ 87 
We want to divide 645377 by 87.

Let's proceed to step 1:
If we divide 6 by 87, we get 0 and a remainder of 6.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 6 leaves us with 6.
Include the next digit (4) from the dividend after 6, then repeat: 64 / 87

Step 2:
64 divided by 87 is 0 with a remainder of 64.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 64, we end up with 64.
Grab the next digit (5) from the dividend, add it to 64, then carry on: 645 / 87

On to step 3:
87 can be fit into 645 7 times, resulting in a remainder of 36.
Use 7 as the next digit of our solution. 
Result so far: 7.0
Deduct 609 from 645 and we're left with 36.
Include the next digit (3) from the dividend after 36, then repeat: 363 / 87

On to step 4:
363 divided by 87 is 4 with a remainder of 15.
Put 4 as the next digit of the answer. 
Result so far: 74.0
Deduct 348 from 363 and we're left with 15.
Bring next digit (7) of the dividend behind the 15 and repeat the process: 157 / 87

Let's proceed to step 5:
87 can be fit into 157 1 times, resulting in a remainder of 70.
The next digit of our result is 1. 
Result so far: 741.0
The remainder is 70 after subtracting 87 from 157.
Bring next digit (7) of the dividend behind the 70 and repeat the process: 707 / 87

Let's proceed to step 6:
87 can be fit into 707 8 times, resulting in a remainder of 11.
Write down 8 as next digit of the result. 
Result so far: 7418.0
Subtracting 696 from 707 leaves us with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

On to step 7:
If we divide 110 by 87, we get 1 and a remainder of 23.
Record the quotient 1 as the next digit in the result. 
Result so far: 7418.1
Deduct 87 from 110 and we're left with 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Going ahead to step 8:
87 can be fit into 230 2 times, resulting in a remainder of 56.
The number 2 becomes the next digit in our result. 
Result so far: 7418.12
The remainder is 56 after subtracting 174 from 230.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Let's proceed to step 9:
The number 87 fits into 560 6 times, leaving a remainder of 38.
The next digit of our result is 6. 
Result so far: 7418.126
Subtracting 522 from 560 leaves us with 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Let's proceed to step 10:
87 goes into 380 4 times with a remainder of 32.
Write down 4 as next digit of the result. 
Result so far: 7418.1264
The remainder is 32 after subtracting 348 from 380.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Step 11:
The number 87 fits into 320 3 times, leaving a remainder of 59.
Put 3 as the next digit of the answer. 
Result so far: 7418.12643
Subtract 261 from 320 to get 59.
Since there are no more digits in the dividend, we add a zero to the remainder making it 590, and continue the process.

Step 12:
When dividing 590 by 87, we get 6 with a remainder of 68.
The next digit of our result is 6. 
Result so far: 7418.126436
The remainder is 68 after subtracting 522 from 590.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

Step 13:
87 goes into 680 7 times with a remainder of 71.
Use 7 as the next digit of our solution. 
Result so far: 7418.1264367
If we take 609 away from 680, we end up with 71.
Since there are no more digits in the dividend, we add a zero to the remainder making it 710, and continue the process.

Advancing to step 14:
If we divide 710 by 87, we get 8 and a remainder of 14.
The next digit of our result is 8. 
Result so far: 7418.12643678
If we take 696 away from 710, we end up with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

In conclusion, the division gives 7418.12643678 with a balance of 1.4e-08.