421129 ÷ 37 
We're looking to find how many times 37 goes into 421129.

Advancing to step 1:
37 can be fit into 4 0 times, resulting in a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 4 leaves us with 4.
Take the next digit (2) from the dividend and append it to 4, then repeat: 42 / 37

On to step 2:
37 goes into 42 1 times with a remainder of 5.
The next digit of our result is 1. 
Result so far: 1.0
The remainder is 5 after subtracting 37 from 42.
Append the next digit (1) from the dividend to 5 and continue with: 51 / 37

Let's proceed to step 3:
51 divided by 37 is 1 with a remainder of 14.
Write down 1 as next digit of the result. 
Result so far: 11.0
Deduct 37 from 51 and we're left with 14.
Take the next digit (1) from the dividend and append it to 14, then repeat: 141 / 37

Going ahead to step 4:
If we divide 141 by 37, we get 3 and a remainder of 30.
The next digit of our result is 3. 
Result so far: 113.0
The remainder is 30 after subtracting 111 from 141.
Grab the next digit (2) from the dividend, add it to 30, then carry on: 302 / 37

Going ahead to step 5:
When dividing 302 by 37, we get 8 with a remainder of 6.
Write down 8 as next digit of the result. 
Result so far: 1138.0
Subtracting 296 from 302 leaves us with 6.
Append the next digit (9) from the dividend to 6 and continue with: 69 / 37

On to step 6:
37 can be fit into 69 1 times, resulting in a remainder of 32.
Record the quotient 1 as the next digit in the result. 
Result so far: 11381.0
Deduct 37 from 69 and we're left with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Going ahead to step 7:
37 goes into 320 8 times with a remainder of 24.
The next digit of our result is 8. 
Result so far: 11381.8
If we take 296 away from 320, we end up with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Let's proceed to step 8:
240 divided by 37 is 6 with a remainder of 18.
The number 6 becomes the next digit in our result. 
Result so far: 11381.86
Subtract 222 from 240 to get 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Moving on to step 9:
If we divide 180 by 37, we get 4 and a remainder of 32.
The number 4 becomes the next digit in our result. 
Result so far: 11381.864
Subtracting 148 from 180 leaves us with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Step 10:
The number 37 fits into 320 8 times, leaving a remainder of 24.
Write down 8 as next digit of the result. 
Result so far: 11381.8648
Subtracting 296 from 320 leaves us with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Step 11:
If we divide 240 by 37, we get 6 and a remainder of 18.
Put 6 as the next digit of the answer. 
Result so far: 11381.86486
Subtract 222 from 240 to get 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Let's proceed to step 12:
If we divide 180 by 37, we get 4 and a remainder of 32.
Put 4 as the next digit of the answer. 
Result so far: 11381.864864
If we take 148 away from 180, we end up with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Advancing to step 13:
When dividing 320 by 37, we get 8 with a remainder of 24.
Record the quotient 8 as the next digit in the result. 
Result so far: 11381.8648648
Subtracting 296 from 320 leaves us with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Moving on to step 14:
When dividing 240 by 37, we get 6 with a remainder of 18.
Use 6 as the next digit of our solution. 
Result so far: 11381.86486486
The remainder is 18 after subtracting 222 from 240.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

The final outcome is 11381.86486486, with a leftover of 1.8e-08.