Let's divide 742238 by 61
Our goal is to divide 742238 by 61.

Let's proceed to step 1:
When dividing 7 by 61, we get 0 with a remainder of 7.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 7 and we're left with 7.
Fetch the next digit (4) from the dividend, attach it to 7 and continue: 74 / 61

Advancing to step 2:
74 divided by 61 is 1 with a remainder of 13.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we take 61 away from 74, we end up with 13.
Take the next digit (2) from the dividend and append it to 13, then repeat: 132 / 61

Step 3:
When dividing 132 by 61, we get 2 with a remainder of 10.
Use 2 as the next digit of our solution. 
Result so far: 12.0
If we take 122 away from 132, we end up with 10.
Take the next digit (2) from the dividend and append it to 10, then repeat: 102 / 61

Advancing to step 4:
102 divided by 61 is 1 with a remainder of 41.
The number 1 becomes the next digit in our result. 
Result so far: 121.0
Subtract 61 from 102 to get 41.
Grab the next digit (3) from the dividend, add it to 41, then carry on: 413 / 61

On to step 5:
If we divide 413 by 61, we get 6 and a remainder of 47.
Put 6 as the next digit of the answer. 
Result so far: 1216.0
The remainder is 47 after subtracting 366 from 413.
Take the next digit (8) from the dividend and append it to 47, then repeat: 478 / 61

Going ahead to step 6:
If we divide 478 by 61, we get 7 and a remainder of 51.
Write down 7 as next digit of the result. 
Result so far: 12167.0
Subtracting 427 from 478 leaves us with 51.
Since there are no more digits in the dividend, we add a zero to the remainder making it 510, and continue the process.

Step 7:
The number 61 fits into 510 8 times, leaving a remainder of 22.
The number 8 becomes the next digit in our result. 
Result so far: 12167.8
If we take 488 away from 510, we end up with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Let's proceed to step 8:
220 divided by 61 is 3 with a remainder of 37.
Record the quotient 3 as the next digit in the result. 
Result so far: 12167.83
Deduct 183 from 220 and we're left with 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

Step 9:
61 can be fit into 370 6 times, resulting in a remainder of 4.
Put 6 as the next digit of the answer. 
Result so far: 12167.836
If we subtract 366 from 370, we get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Advancing to step 10:
The number 61 fits into 40 0 times, leaving a remainder of 40.
Record the quotient 0 as the next digit in the result. 
Result so far: 12167.836
If we subtract 0 from 40, we get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Let's proceed to step 11:
If we divide 400 by 61, we get 6 and a remainder of 34.
Record the quotient 6 as the next digit in the result. 
Result so far: 12167.83606
Subtract 366 from 400 to get 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Step 12:
61 goes into 340 5 times with a remainder of 35.
Use 5 as the next digit of our solution. 
Result so far: 12167.836065
Subtract 305 from 340 to get 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Moving on to step 13:
61 can be fit into 350 5 times, resulting in a remainder of 45.
Write down 5 as next digit of the result. 
Result so far: 12167.8360655
Subtracting 305 from 350 leaves us with 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

In conclusion, the division gives 12167.8360655 with a balance of 4.5e-07.