946658 divided by 13 
We're looking to find how many times 13 goes into 946658.

Advancing to step 1:
13 can be fit into 9 0 times, resulting in a remainder of 9.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 9 after subtracting 0 from 9.
Grab the next digit (4) from the dividend, add it to 9, then carry on: 94 / 13

Moving on to step 2:
13 can be fit into 94 7 times, resulting in a remainder of 3.
The number 7 becomes the next digit in our result. 
Result so far: 7.0
Subtract 91 from 94 to get 3.
Fetch the next digit (6) from the dividend, attach it to 3 and continue: 36 / 13

Advancing to step 3:
The number 13 fits into 36 2 times, leaving a remainder of 10.
Use 2 as the next digit of our solution. 
Result so far: 72.0
Subtracting 26 from 36 leaves us with 10.
Grab the next digit (6) from the dividend, add it to 10, then carry on: 106 / 13

Advancing to step 4:
106 divided by 13 is 8 with a remainder of 2.
Record the quotient 8 as the next digit in the result. 
Result so far: 728.0
If we subtract 104 from 106, we get 2.
Take the next digit (5) from the dividend and append it to 2, then repeat: 25 / 13

Advancing to step 5:
13 can be fit into 25 1 times, resulting in a remainder of 12.
Write down 1 as next digit of the result. 
Result so far: 7281.0
The remainder is 12 after subtracting 13 from 25.
Grab the next digit (8) from the dividend, add it to 12, then carry on: 128 / 13

On to step 6:
13 can be fit into 128 9 times, resulting in a remainder of 11.
Write down 9 as next digit of the result. 
Result so far: 72819.0
If we subtract 117 from 128, we get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

On to step 7:
13 can be fit into 110 8 times, resulting in a remainder of 6.
Use 8 as the next digit of our solution. 
Result so far: 72819.8
Subtract 104 from 110 to get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Moving on to step 8:
60 divided by 13 is 4 with a remainder of 8.
The number 4 becomes the next digit in our result. 
Result so far: 72819.84
If we take 52 away from 60, 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.

Moving on to step 9:
The number 13 fits into 80 6 times, leaving a remainder of 2.
Record the quotient 6 as the next digit in the result. 
Result so far: 72819.846
The remainder is 2 after subtracting 78 from 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Going ahead to step 10:
20 divided by 13 is 1 with a remainder of 7.
Record the quotient 1 as the next digit in the result. 
Result so far: 72819.8461
If we subtract 13 from 20, we get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Let's proceed to step 11:
70 divided by 13 is 5 with a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 72819.84615
Subtracting 65 from 70 leaves us with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Advancing to step 12:
13 can be fit into 50 3 times, resulting in a remainder of 11.
The next digit of our result is 3. 
Result so far: 72819.846153
Subtracting 39 from 50 leaves us with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Let's proceed to step 13:
If we divide 110 by 13, we get 8 and a remainder of 6.
Write down 8 as next digit of the result. 
Result so far: 72819.8461538
Deduct 104 from 110 and we're left with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

On to step 14:
The number 13 fits into 60 4 times, leaving a remainder of 8.
Put 4 as the next digit of the answer. 
Result so far: 72819.84615384
The remainder is 8 after subtracting 52 from 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

After the division, we end up with 72819.84615384 and a remainder of 8e-09.