We look at the division of 61770 by 41 
We're looking to find how many times 41 goes into 61770.

Advancing to step 1:
41 goes into 6 0 times with a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 6, we get 6.
Take the next digit (1) from the dividend and append it to 6, then repeat: 61 / 41

Advancing to step 2:
41 can be fit into 61 1 times, resulting in a remainder of 20.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Subtracting 41 from 61 leaves us with 20.
Grab the next digit (7) from the dividend, add it to 20, then carry on: 207 / 41

Let's proceed to step 3:
207 divided by 41 is 5 with a remainder of 2.
Put 5 as the next digit of the answer. 
Result so far: 15.0
Subtract 205 from 207 to get 2.
Append the next digit (7) from the dividend to 2 and continue with: 27 / 41

Going ahead to step 4:
41 can be fit into 27 0 times, resulting in a remainder of 27.
Use 0 as the next digit of our solution. 
Result so far: 150.0
The remainder is 27 after subtracting 0 from 27.
Append the next digit (0) from the dividend to 27 and continue with: 270 / 41

Advancing to step 5:
When dividing 270 by 41, we get 6 with a remainder of 24.
Use 6 as the next digit of our solution. 
Result so far: 1506.0
If we take 246 away from 270, we end up with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Going ahead to step 6:
240 divided by 41 is 5 with a remainder of 35.
The number 5 becomes the next digit in our result. 
Result so far: 1506.5
Deduct 205 from 240 and we're left with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

On to step 7:
350 divided by 41 is 8 with a remainder of 22.
The next digit of our result is 8. 
Result so far: 1506.58
Deduct 328 from 350 and we're left 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 8:
41 goes into 220 5 times with a remainder of 15.
Record the quotient 5 as the next digit in the result. 
Result so far: 1506.585
Subtract 205 from 220 to get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

On to step 9:
41 goes into 150 3 times with a remainder of 27.
The number 3 becomes the next digit in our result. 
Result so far: 1506.5853
The remainder is 27 after subtracting 123 from 150.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Going ahead to step 10:
270 divided by 41 is 6 with a remainder of 24.
Use 6 as the next digit of our solution. 
Result so far: 1506.58536
If we subtract 246 from 270, 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.

Going ahead to step 11:
If we divide 240 by 41, we get 5 and a remainder of 35.
Write down 5 as next digit of the result. 
Result so far: 1506.585365
Subtracting 205 from 240 leaves us with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

On to step 12:
When dividing 350 by 41, we get 8 with a remainder of 22.
Put 8 as the next digit of the answer. 
Result so far: 1506.5853658
If we take 328 away from 350, 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.

Advancing to step 13:
If we divide 220 by 41, we get 5 and a remainder of 15.
The number 5 becomes the next digit in our result. 
Result so far: 1506.58536585
If we take 205 away from 220, we end up with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

The quotient of the division is 1506.58536585, and the remainder is 1.5e-08.