We look at the division of 586106 by 88 
We're looking to find how many times 88 goes into 586106.

Step 1:
88 can be fit into 5 0 times, resulting in a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Take the next digit (8) from the dividend and append it to 5, then repeat: 58 / 88

On to step 2:
When dividing 58 by 88, we get 0 with a remainder of 58.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 58 leaves us with 58.
Bring next digit (6) of the dividend behind the 58 and repeat the process: 586 / 88

On to step 3:
If we divide 586 by 88, we get 6 and a remainder of 58.
Put 6 as the next digit of the answer. 
Result so far: 6.0
If we take 528 away from 586, we end up with 58.
Append the next digit (1) from the dividend to 58 and continue with: 581 / 88

Going ahead to step 4:
88 can be fit into 581 6 times, resulting in a remainder of 53.
The number 6 becomes the next digit in our result. 
Result so far: 66.0
If we subtract 528 from 581, we get 53.
Bring next digit (0) of the dividend behind the 53 and repeat the process: 530 / 88

On to step 5:
When dividing 530 by 88, we get 6 with a remainder of 2.
The next digit of our result is 6. 
Result so far: 666.0
Subtracting 528 from 530 leaves us with 2.
Fetch the next digit (6) from the dividend, attach it to 2 and continue: 26 / 88

Advancing to step 6:
88 can be fit into 26 0 times, resulting in a remainder of 26.
Record the quotient 0 as the next digit in the result. 
Result so far: 6660.0
Deduct 0 from 26 and we're left with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

On to step 7:
88 goes into 260 2 times with a remainder of 84.
Put 2 as the next digit of the answer. 
Result so far: 6660.2
If we take 176 away from 260, we end up with 84.
Since there are no more digits in the dividend, we add a zero to the remainder making it 840, and continue the process.

Step 8:
88 can be fit into 840 9 times, resulting in a remainder of 48.
Use 9 as the next digit of our solution. 
Result so far: 6660.29
Subtracting 792 from 840 leaves us 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.

Let's proceed to step 9:
If we divide 480 by 88, we get 5 and a remainder of 40.
Record the quotient 5 as the next digit in the result. 
Result so far: 6660.295
Subtracting 440 from 480 leaves us with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

On to step 10:
88 goes into 400 4 times with a remainder of 48.
Record the quotient 4 as the next digit in the result. 
Result so far: 6660.2954
Subtracting 352 from 400 leaves us 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 11:
When dividing 480 by 88, we get 5 with a remainder of 40.
The next digit of our result is 5. 
Result so far: 6660.29545
Subtract 440 from 480 to get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Going ahead to step 12:
88 goes into 400 4 times with a remainder of 48.
Record the quotient 4 as the next digit in the result. 
Result so far: 6660.295454
If we take 352 away from 400, 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.

Moving on to step 13:
88 can be fit into 480 5 times, resulting in a remainder of 40.
The number 5 becomes the next digit in our result. 
Result so far: 6660.2954545
If we subtract 440 from 480, we get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Let's proceed to step 14:
When dividing 400 by 88, we get 4 with a remainder of 48.
Use 4 as the next digit of our solution. 
Result so far: 6660.29545454
Subtracting 352 from 400 leaves us 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.

Our division results in 6660.29545454 with a remaining 4.8e-08.