Let's divide 966421 by 61
We want to figure out the number of times 966421 can be divided by 61.

On to step 1:
61 can be fit into 9 0 times, resulting in a remainder of 9.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 9 and we're left with 9.
Take the next digit (6) from the dividend and append it to 9, then repeat: 96 / 61

Let's proceed to step 2:
96 divided by 61 is 1 with a remainder of 35.
Write down 1 as next digit of the result. 
Result so far: 1.0
The remainder is 35 after subtracting 61 from 96.
Take the next digit (6) from the dividend and append it to 35, then repeat: 356 / 61

Let's proceed to step 3:
If we divide 356 by 61, we get 5 and a remainder of 51.
The next digit of our result is 5. 
Result so far: 15.0
Deduct 305 from 356 and we're left with 51.
Include the next digit (4) from the dividend after 51, then repeat: 514 / 61

Going ahead to step 4:
514 divided by 61 is 8 with a remainder of 26.
Record the quotient 8 as the next digit in the result. 
Result so far: 158.0
If we take 488 away from 514, we end up with 26.
Include the next digit (2) from the dividend after 26, then repeat: 262 / 61

Going ahead to step 5:
262 divided by 61 is 4 with a remainder of 18.
Record the quotient 4 as the next digit in the result. 
Result so far: 1584.0
The remainder is 18 after subtracting 244 from 262.
Append the next digit (1) from the dividend to 18 and continue with: 181 / 61

Let's proceed to step 6:
When dividing 181 by 61, we get 2 with a remainder of 59.
Put 2 as the next digit of the answer. 
Result so far: 15842.0
Subtracting 122 from 181 leaves us with 59.
Since there are no more digits in the dividend, we add a zero to the remainder making it 590, and continue the process.

Going ahead to step 7:
If we divide 590 by 61, we get 9 and a remainder of 41.
Put 9 as the next digit of the answer. 
Result so far: 15842.9
Subtracting 549 from 590 leaves us with 41.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

Moving on to step 8:
61 goes into 410 6 times with a remainder of 44.
The number 6 becomes the next digit in our result. 
Result so far: 15842.96
The remainder is 44 after subtracting 366 from 410.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Advancing to step 9:
When dividing 440 by 61, we get 7 with a remainder of 13.
Put 7 as the next digit of the answer. 
Result so far: 15842.967
Subtracting 427 from 440 leaves us with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Let's proceed to step 10:
130 divided by 61 is 2 with a remainder of 8.
Write down 2 as next digit of the result. 
Result so far: 15842.9672
If we take 122 away from 130, we end up with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Going ahead to step 11:
61 goes into 80 1 times with a remainder of 19.
The number 1 becomes the next digit in our result. 
Result so far: 15842.96721
If we take 61 away from 80, we end up with 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Moving on to step 12:
If we divide 190 by 61, we get 3 and a remainder of 7.
Record the quotient 3 as the next digit in the result. 
Result so far: 15842.967213
Subtracting 183 from 190 leaves us 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.

On to step 13:
61 can be fit into 70 1 times, resulting in a remainder of 9.
The next digit of our result is 1. 
Result so far: 15842.9672131
Subtract 61 from 70 to get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

On to step 14:
90 divided by 61 is 1 with a remainder of 29.
Record the quotient 1 as the next digit in the result. 
Result so far: 15842.96721311
If we take 61 away from 90, we end up with 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

The final result is 15842.96721311 with a remainder of 2.9e-08.