We look at the division of 461946 by 29 
We're looking to find how many times 29 goes into 461946.

Step 1:
29 can be fit into 4 0 times, resulting in a remainder of 4.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 4 and we're left with 4.
Fetch the next digit (6) from the dividend, attach it to 4 and continue: 46 / 29

Moving on to step 2:
46 divided by 29 is 1 with a remainder of 17.
Put 1 as the next digit of the answer. 
Result so far: 1.0
If we take 29 away from 46, we end up with 17.
Fetch the next digit (1) from the dividend, attach it to 17 and continue: 171 / 29

Going ahead to step 3:
171 divided by 29 is 5 with a remainder of 26.
The next digit of our result is 5. 
Result so far: 15.0
The remainder is 26 after subtracting 145 from 171.
Append the next digit (9) from the dividend to 26 and continue with: 269 / 29

Advancing to step 4:
269 divided by 29 is 9 with a remainder of 8.
Put 9 as the next digit of the answer. 
Result so far: 159.0
The remainder is 8 after subtracting 261 from 269.
Append the next digit (4) from the dividend to 8 and continue with: 84 / 29

Moving on to step 5:
29 goes into 84 2 times with a remainder of 26.
Put 2 as the next digit of the answer. 
Result so far: 1592.0
If we take 58 away from 84, we end up with 26.
Append the next digit (6) from the dividend to 26 and continue with: 266 / 29

Let's proceed to step 6:
266 divided by 29 is 9 with a remainder of 5.
The number 9 becomes the next digit in our result. 
Result so far: 15929.0
If we take 261 away from 266, we end up 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.

Step 7:
When dividing 50 by 29, we get 1 with a remainder of 21.
The next digit of our result is 1. 
Result so far: 15929.1
If we take 29 away from 50, we end up with 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

On to step 8:
29 can be fit into 210 7 times, resulting in a remainder of 7.
Write down 7 as next digit of the result. 
Result so far: 15929.17
Deduct 203 from 210 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.

On to step 9:
29 goes into 70 2 times with a remainder of 12.
Use 2 as the next digit of our solution. 
Result so far: 15929.172
The remainder is 12 after subtracting 58 from 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Moving on to step 10:
29 goes into 120 4 times with a remainder of 4.
Put 4 as the next digit of the answer. 
Result so far: 15929.1724
Subtracting 116 from 120 leaves us with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Going ahead to step 11:
When dividing 40 by 29, we get 1 with a remainder of 11.
The next digit of our result is 1. 
Result so far: 15929.17241
Subtracting 29 from 40 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.

Advancing to step 12:
When dividing 110 by 29, we get 3 with a remainder of 23.
Put 3 as the next digit of the answer. 
Result so far: 15929.172413
If we take 87 away from 110, we end up with 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

On to step 13:
If we divide 230 by 29, we get 7 and a remainder of 27.
Write down 7 as next digit of the result. 
Result so far: 15929.1724137
The remainder is 27 after subtracting 203 from 230.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Advancing to step 14:
When dividing 270 by 29, we get 9 with a remainder of 9.
The next digit of our result is 9. 
Result so far: 15929.17241379
Deduct 261 from 270 and we're left with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

The final outcome is 15929.17241379, with a leftover of 9e-09.