We look at the division of 89658 by 38 
We want to figure out the number of times 89658 can be divided by 38.

Let's proceed to step 1:
The number 38 fits into 8 0 times, leaving a remainder of 8.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 8 and we're left with 8.
Grab the next digit (9) from the dividend, add it to 8, then carry on: 89 / 38

Let's proceed to step 2:
38 can be fit into 89 2 times, resulting in a remainder of 13.
The next digit of our result is 2. 
Result so far: 2.0
Subtracting 76 from 89 leaves us with 13.
Grab the next digit (6) from the dividend, add it to 13, then carry on: 136 / 38

Moving on to step 3:
If we divide 136 by 38, we get 3 and a remainder of 22.
The number 3 becomes the next digit in our result. 
Result so far: 23.0
If we take 114 away from 136, we end up with 22.
Take the next digit (5) from the dividend and append it to 22, then repeat: 225 / 38

Advancing to step 4:
225 divided by 38 is 5 with a remainder of 35.
Record the quotient 5 as the next digit in the result. 
Result so far: 235.0
If we take 190 away from 225, we end up with 35.
Bring next digit (8) of the dividend behind the 35 and repeat the process: 358 / 38

Advancing to step 5:
38 goes into 358 9 times with a remainder of 16.
Write down 9 as next digit of the result. 
Result so far: 2359.0
If we subtract 342 from 358, we get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Step 6:
38 can be fit into 160 4 times, resulting in a remainder of 8.
The number 4 becomes the next digit in our result. 
Result so far: 2359.4
Subtracting 152 from 160 leaves us with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Let's proceed to step 7:
If we divide 80 by 38, we get 2 and a remainder of 4.
The next digit of our result is 2. 
Result so far: 2359.42
Subtracting 76 from 80 leaves us with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Going ahead to step 8:
If we divide 40 by 38, we get 1 and a remainder of 2.
The number 1 becomes the next digit in our result. 
Result so far: 2359.421
If we subtract 38 from 40, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Let's proceed to step 9:
When dividing 20 by 38, we get 0 with a remainder of 20.
Use 0 as the next digit of our solution. 
Result so far: 2359.421
Deduct 0 from 20 and we're left with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Let's proceed to step 10:
If we divide 200 by 38, we get 5 and a remainder of 10.
The next digit of our result is 5. 
Result so far: 2359.42105
Subtracting 190 from 200 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Step 11:
If we divide 100 by 38, we get 2 and a remainder of 24.
Use 2 as the next digit of our solution. 
Result so far: 2359.421052
If we subtract 76 from 100, we get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Advancing to step 12:
38 goes into 240 6 times with a remainder of 12.
Put 6 as the next digit of the answer. 
Result so far: 2359.4210526
Deduct 228 from 240 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.

Let's proceed to step 13:
The number 38 fits into 120 3 times, leaving a remainder of 6.
Record the quotient 3 as the next digit in the result. 
Result so far: 2359.42105263
Subtract 114 from 120 to get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

The final result is 2359.42105263 with a remainder of 6e-09.