We're dividing 943677 by 61 
Our goal is to divide 943677 by 61.

Let's proceed to step 1:
61 goes into 9 0 times with a remainder of 9.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 9 after subtracting 0 from 9.
Fetch the next digit (4) from the dividend, attach it to 9 and continue: 94 / 61

Going ahead to step 2:
61 goes into 94 1 times with a remainder of 33.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Subtracting 61 from 94 leaves us with 33.
Append the next digit (3) from the dividend to 33 and continue with: 333 / 61

Step 3:
61 can be fit into 333 5 times, resulting in a remainder of 28.
Write down 5 as next digit of the result. 
Result so far: 15.0
If we take 305 away from 333, we end up with 28.
Fetch the next digit (6) from the dividend, attach it to 28 and continue: 286 / 61

Advancing to step 4:
The number 61 fits into 286 4 times, leaving a remainder of 42.
Put 4 as the next digit of the answer. 
Result so far: 154.0
Subtract 244 from 286 to get 42.
Bring next digit (7) of the dividend behind the 42 and repeat the process: 427 / 61

Going ahead to step 5:
61 goes into 427 7 times with a remainder of 0.
Put 7 as the next digit of the answer. 
Result so far: 1547.0
If we take 427 away from 427, we end up with 0.
Fetch the next digit (7) from the dividend, attach it to 0 and continue: 7 / 61

Moving on to step 6:
When dividing 7 by 61, we get 0 with a remainder of 7.
The number 0 becomes the next digit in our result. 
Result so far: 15470.0
Deduct 0 from 7 and we're left with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Advancing to step 7:
61 can be fit into 70 1 times, resulting in a remainder of 9.
Use 1 as the next digit of our solution. 
Result so far: 15470.1
The remainder is 9 after subtracting 61 from 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Going ahead to step 8:
When dividing 90 by 61, we get 1 with a remainder of 29.
Put 1 as the next digit of the answer. 
Result so far: 15470.11
Subtract 61 from 90 to get 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

After the division, we end up with 15470.11 and a remainder of 0.029.