437770 ÷ 61 
We want to figure out the number of times 437770 can be divided by 61.

On to step 1:
61 can be fit into 4 0 times, resulting in a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 4, we get 4.
Fetch the next digit (3) from the dividend, attach it to 4 and continue: 43 / 61

On to step 2:
61 can be fit into 43 0 times, resulting in a remainder of 43.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 43 after subtracting 0 from 43.
Append the next digit (7) from the dividend to 43 and continue with: 437 / 61

Advancing to step 3:
When dividing 437 by 61, we get 7 with a remainder of 10.
Write down 7 as next digit of the result. 
Result so far: 7.0
Subtract 427 from 437 to get 10.
Append the next digit (7) from the dividend to 10 and continue with: 107 / 61

Let's proceed to step 4:
If we divide 107 by 61, we get 1 and a remainder of 46.
The number 1 becomes the next digit in our result. 
Result so far: 71.0
The remainder is 46 after subtracting 61 from 107.
Take the next digit (7) from the dividend and append it to 46, then repeat: 467 / 61

Step 5:
The number 61 fits into 467 7 times, leaving a remainder of 40.
Use 7 as the next digit of our solution. 
Result so far: 717.0
Subtracting 427 from 467 leaves us with 40.
Bring next digit (0) of the dividend behind the 40 and repeat the process: 400 / 61

Step 6:
400 divided by 61 is 6 with a remainder of 34.
Put 6 as the next digit of the answer. 
Result so far: 7176.0
Subtract 366 from 400 to get 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Going ahead to step 7:
If we divide 340 by 61, we get 5 and a remainder of 35.
The next digit of our result is 5. 
Result so far: 7176.5
The remainder is 35 after subtracting 305 from 340.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Step 8:
If we divide 350 by 61, we get 5 and a remainder of 45.
The next digit of our result is 5. 
Result so far: 7176.55
Subtract 305 from 350 to get 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

The quotient of the division is 7176.55, and the remainder is 0.045.