We're dividing 126119 by 58 
Our goal is to divide 126119 by 58.

On to step 1:
58 goes into 1 0 times with a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Bring next digit (2) of the dividend behind the 1 and repeat the process: 12 / 58

Let's proceed to step 2:
58 goes into 12 0 times with a remainder of 12.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 12 after subtracting 0 from 12.
Take the next digit (6) from the dividend and append it to 12, then repeat: 126 / 58

Going ahead to step 3:
When dividing 126 by 58, we get 2 with a remainder of 10.
Write down 2 as next digit of the result. 
Result so far: 2.0
Deduct 116 from 126 and we're left with 10.
Fetch the next digit (1) from the dividend, attach it to 10 and continue: 101 / 58

Let's proceed to step 4:
101 divided by 58 is 1 with a remainder of 43.
Record the quotient 1 as the next digit in the result. 
Result so far: 21.0
Deduct 58 from 101 and we're left with 43.
Append the next digit (1) from the dividend to 43 and continue with: 431 / 58

On to step 5:
When dividing 431 by 58, we get 7 with a remainder of 25.
Record the quotient 7 as the next digit in the result. 
Result so far: 217.0
If we take 406 away from 431, we end up with 25.
Append the next digit (9) from the dividend to 25 and continue with: 259 / 58

Moving on to step 6:
58 can be fit into 259 4 times, resulting in a remainder of 27.
Record the quotient 4 as the next digit in the result. 
Result so far: 2174.0
Subtract 232 from 259 to get 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Step 7:
58 can be fit into 270 4 times, resulting in a remainder of 38.
Write down 4 as next digit of the result. 
Result so far: 2174.4
Subtract 232 from 270 to get 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Going ahead to step 8:
The number 58 fits into 380 6 times, leaving a remainder of 32.
Put 6 as the next digit of the answer. 
Result so far: 2174.46
If we take 348 away from 380, 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 9:
When dividing 320 by 58, we get 5 with a remainder of 30.
Put 5 as the next digit of the answer. 
Result so far: 2174.465
If we subtract 290 from 320, we get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

On to step 10:
300 divided by 58 is 5 with a remainder of 10.
Use 5 as the next digit of our solution. 
Result so far: 2174.4655
If we subtract 290 from 300, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

The quotient of the division is 2174.4655, and the remainder is 0.0001.