We look at the division of 69257 by 61 
Our goal is to divide 69257 by 61.

On to step 1:
6 divided by 61 is 0 with a remainder of 6.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 6 after subtracting 0 from 6.
Take the next digit (9) from the dividend and append it to 6, then repeat: 69 / 61

Step 2:
61 goes into 69 1 times with a remainder of 8.
The next digit of our result is 1. 
Result so far: 1.0
Subtracting 61 from 69 leaves us with 8.
Append the next digit (2) from the dividend to 8 and continue with: 82 / 61

Going ahead to step 3:
If we divide 82 by 61, we get 1 and a remainder of 21.
Record the quotient 1 as the next digit in the result. 
Result so far: 11.0
If we take 61 away from 82, we end up with 21.
Fetch the next digit (5) from the dividend, attach it to 21 and continue: 215 / 61

On to step 4:
61 goes into 215 3 times with a remainder of 32.
The next digit of our result is 3. 
Result so far: 113.0
If we take 183 away from 215, we end up with 32.
Fetch the next digit (7) from the dividend, attach it to 32 and continue: 327 / 61

Step 5:
The number 61 fits into 327 5 times, leaving a remainder of 22.
The number 5 becomes the next digit in our result. 
Result so far: 1135.0
If we subtract 305 from 327, we 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.

Step 6:
The number 61 fits into 220 3 times, leaving a remainder of 37.
The next digit of our result is 3. 
Result so far: 1135.3
Subtract 183 from 220 to get 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

Going ahead to step 7:
370 divided by 61 is 6 with a remainder of 4.
Record the quotient 6 as the next digit in the result. 
Result so far: 1135.36
Subtracting 366 from 370 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.

On to step 8:
When dividing 40 by 61, we get 0 with a remainder of 40.
Use 0 as the next digit of our solution. 
Result so far: 1135.36
Deduct 0 from 40 and we're left 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.

Let's proceed to step 9:
61 goes into 400 6 times with a remainder of 34.
Put 6 as the next digit of the answer. 
Result so far: 1135.3606
Subtracting 366 from 400 leaves us with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Step 10:
The number 61 fits into 340 5 times, leaving a remainder of 35.
The number 5 becomes the next digit in our result. 
Result so far: 1135.36065
If we subtract 305 from 340, we get 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Let's proceed to step 11:
350 divided by 61 is 5 with a remainder of 45.
Put 5 as the next digit of the answer. 
Result so far: 1135.360655
Subtracting 305 from 350 leaves us with 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Our division results in 1135.360655 with a remaining 4.5e-06.