87835407 ÷ 408 
We want to figure out the number of times 87835407 can be divided by 408.

Advancing to step 1:
408 goes into 8 0 times with a remainder of 8.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 8, we end up with 8.
Fetch the next digit (7) from the dividend, attach it to 8 and continue: 87 / 408

Moving on to step 2:
If we divide 87 by 408, we get 0 and a remainder of 87.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 87 to get 87.
Include the next digit (8) from the dividend after 87, then repeat: 878 / 408

On to step 3:
When dividing 878 by 408, we get 2 with a remainder of 62.
Write down 2 as next digit of the result. 
Result so far: 2.0
Subtract 816 from 878 to get 62.
Append the next digit (3) from the dividend to 62 and continue with: 623 / 408

On to step 4:
408 goes into 623 1 times with a remainder of 215.
The next digit of our result is 1. 
Result so far: 21.0
Deduct 408 from 623 and we're left with 215.
Grab the next digit (5) from the dividend, add it to 215, then carry on: 2155 / 408

Let's proceed to step 5:
2155 divided by 408 is 5 with a remainder of 115.
Put 5 as the next digit of the answer. 
Result so far: 215.0
Subtracting 2040 from 2155 leaves us with 115.
Include the next digit (4) from the dividend after 115, then repeat: 1154 / 408

Step 6:
If we divide 1154 by 408, we get 2 and a remainder of 338.
Use 2 as the next digit of our solution. 
Result so far: 2152.0
Deduct 816 from 1154 and we're left with 338.
Take the next digit (0) from the dividend and append it to 338, then repeat: 3380 / 408

Let's proceed to step 7:
408 can be fit into 3380 8 times, resulting in a remainder of 116.
The number 8 becomes the next digit in our result. 
Result so far: 21528.0
Subtracting 3264 from 3380 leaves us with 116.
Append the next digit (7) from the dividend to 116 and continue with: 1167 / 408

Going ahead to step 8:
408 can be fit into 1167 2 times, resulting in a remainder of 351.
The next digit of our result is 2. 
Result so far: 215282.0
If we take 816 away from 1167, we end up with 351.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3510, and continue the process.

Let's proceed to step 9:
408 goes into 3510 8 times with a remainder of 246.
Record the quotient 8 as the next digit in the result. 
Result so far: 215282.8
Deduct 3264 from 3510 and we're left with 246.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2460, and continue the process.

Step 10:
408 can be fit into 2460 6 times, resulting in a remainder of 12.
The number 6 becomes the next digit in our result. 
Result so far: 215282.86
Deduct 2448 from 2460 and we're left 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.

Step 11:
If we divide 120 by 408, we get 0 and a remainder of 120.
Put 0 as the next digit of the answer. 
Result so far: 215282.86
The remainder is 120 after subtracting 0 from 120.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1200, and continue the process.

Advancing to step 12:
408 goes into 1200 2 times with a remainder of 384.
Write down 2 as next digit of the result. 
Result so far: 215282.8602
Subtracting 816 from 1200 leaves us with 384.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3840, and continue the process.

On to step 13:
408 goes into 3840 9 times with a remainder of 168.
Record the quotient 9 as the next digit in the result. 
Result so far: 215282.86029
Subtract 3672 from 3840 to get 168.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1680, and continue the process.

Advancing to step 14:
408 can be fit into 1680 4 times, resulting in a remainder of 48.
Use 4 as the next digit of our solution. 
Result so far: 215282.860294
Subtract 1632 from 1680 to get 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Let's proceed to step 15:
408 can be fit into 480 1 times, resulting in a remainder of 72.
The number 1 becomes the next digit in our result. 
Result so far: 215282.8602941
If we take 408 away from 480, we end up with 72.
Since there are no more digits in the dividend, we add a zero to the remainder making it 720, and continue the process.

Advancing to step 16:
When dividing 720 by 408, we get 1 with a remainder of 312.
Put 1 as the next digit of the answer. 
Result so far: 215282.86029411
Deduct 408 from 720 and we're left with 312.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3120, and continue the process.

In conclusion, the division gives 215282.86029411 with a balance of 3.12e-07.