We look at the division of 706257 by 61 
Our goal is to divide 706257 by 61.

Step 1:
The number 61 fits into 7 0 times, leaving a remainder of 7.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 7 after subtracting 0 from 7.
Include the next digit (0) from the dividend after 7, then repeat: 70 / 61

Advancing to step 2:
61 can be fit into 70 1 times, resulting in a remainder of 9.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
The remainder is 9 after subtracting 61 from 70.
Take the next digit (6) from the dividend and append it to 9, then repeat: 96 / 61

Going ahead to step 3:
When dividing 96 by 61, we get 1 with a remainder of 35.
The next digit of our result is 1. 
Result so far: 11.0
If we subtract 61 from 96, we get 35.
Grab the next digit (2) from the dividend, add it to 35, then carry on: 352 / 61

Let's proceed to step 4:
61 can be fit into 352 5 times, resulting in a remainder of 47.
Record the quotient 5 as the next digit in the result. 
Result so far: 115.0
The remainder is 47 after subtracting 305 from 352.
Append the next digit (5) from the dividend to 47 and continue with: 475 / 61

Moving on to step 5:
If we divide 475 by 61, we get 7 and a remainder of 48.
The number 7 becomes the next digit in our result. 
Result so far: 1157.0
Subtract 427 from 475 to get 48.
Append the next digit (7) from the dividend to 48 and continue with: 487 / 61

Moving on to step 6:
When dividing 487 by 61, we get 7 with a remainder of 60.
The next digit of our result is 7. 
Result so far: 11577.0
If we subtract 427 from 487, we get 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Step 7:
61 can be fit into 600 9 times, resulting in a remainder of 51.
The number 9 becomes the next digit in our result. 
Result so far: 11577.9
If we subtract 549 from 600, we get 51.
Since there are no more digits in the dividend, we add a zero to the remainder making it 510, and continue the process.

Going ahead to step 8:
When dividing 510 by 61, we get 8 with a remainder of 22.
Record the quotient 8 as the next digit in the result. 
Result so far: 11577.98
If we take 488 away from 510, we end up with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Let's proceed to step 9:
If we divide 220 by 61, we get 3 and a remainder of 37.
The number 3 becomes the next digit in our result. 
Result so far: 11577.983
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.

Moving on to step 10:
370 divided by 61 is 6 with a remainder of 4.
The next digit of our result is 6. 
Result so far: 11577.9836
If we subtract 366 from 370, we get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Step 11:
If we divide 40 by 61, we get 0 and a remainder of 40.
Record the quotient 0 as the next digit in the result. 
Result so far: 11577.9836
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.

Moving on to step 12:
When dividing 400 by 61, we get 6 with a remainder of 34.
The next digit of our result is 6. 
Result so far: 11577.983606
The remainder is 34 after subtracting 366 from 400.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Let's proceed to step 13:
61 goes into 340 5 times with a remainder of 35.
Put 5 as the next digit of the answer. 
Result so far: 11577.9836065
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.

Moving on to step 14:
61 can be fit into 350 5 times, resulting in a remainder of 45.
Write down 5 as next digit of the result. 
Result so far: 11577.98360655
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 11577.98360655 with a remaining 4.5e-08.