37429 ÷ 29 
Our goal is to divide 37429 by 29.

Advancing to step 1:
When dividing 3 by 29, we get 0 with a remainder of 3.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 3 to get 3.
Append the next digit (7) from the dividend to 3 and continue with: 37 / 29

Going ahead to step 2:
The number 29 fits into 37 1 times, leaving a remainder of 8.
Write down 1 as next digit of the result. 
Result so far: 1.0
Subtract 29 from 37 to get 8.
Take the next digit (4) from the dividend and append it to 8, then repeat: 84 / 29

Let's proceed to step 3:
If we divide 84 by 29, we get 2 and a remainder of 26.
The number 2 becomes the next digit in our result. 
Result so far: 12.0
Subtracting 58 from 84 leaves us with 26.
Bring next digit (2) of the dividend behind the 26 and repeat the process: 262 / 29

On to step 4:
When dividing 262 by 29, we get 9 with a remainder of 1.
Record the quotient 9 as the next digit in the result. 
Result so far: 129.0
Subtract 261 from 262 to get 1.
Append the next digit (9) from the dividend to 1 and continue with: 19 / 29

Let's proceed to step 5:
If we divide 19 by 29, we get 0 and a remainder of 19.
The next digit of our result is 0. 
Result so far: 1290.0
If we take 0 away from 19, 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.

On to step 6:
When dividing 190 by 29, we get 6 with a remainder of 16.
The next digit of our result is 6. 
Result so far: 1290.6
Subtracting 174 from 190 leaves us with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Going ahead to step 7:
If we divide 160 by 29, we get 5 and a remainder of 15.
The next digit of our result is 5. 
Result so far: 1290.65
Subtracting 145 from 160 leaves us with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Going ahead to step 8:
If we divide 150 by 29, we get 5 and a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 1290.655
The remainder is 5 after subtracting 145 from 150.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

The final outcome is 1290.655, with a leftover of 0.0005.