We divide 430948 by 61
We want to figure out the number of times 430948 can be divided by 61.

Advancing to step 1:
If we divide 4 by 61, we get 0 and a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 4 leaves us with 4.
Fetch the next digit (3) from the dividend, attach it to 4 and continue: 43 / 61

Going ahead to step 2:
When dividing 43 by 61, we get 0 with a remainder of 43.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 43, we get 43.
Append the next digit (0) from the dividend to 43 and continue with: 430 / 61

Moving on to step 3:
61 can be fit into 430 7 times, resulting in a remainder of 3.
The number 7 becomes the next digit in our result. 
Result so far: 7.0
Subtracting 427 from 430 leaves us with 3.
Grab the next digit (9) from the dividend, add it to 3, then carry on: 39 / 61

Advancing to step 4:
61 goes into 39 0 times with a remainder of 39.
Use 0 as the next digit of our solution. 
Result so far: 70.0
Subtracting 0 from 39 leaves us with 39.
Grab the next digit (4) from the dividend, add it to 39, then carry on: 394 / 61

Going ahead to step 5:
394 divided by 61 is 6 with a remainder of 28.
Put 6 as the next digit of the answer. 
Result so far: 706.0
Subtracting 366 from 394 leaves us with 28.
Grab the next digit (8) from the dividend, add it to 28, then carry on: 288 / 61

Step 6:
If we divide 288 by 61, we get 4 and a remainder of 44.
The number 4 becomes the next digit in our result. 
Result so far: 7064.0
If we take 244 away from 288, we end up with 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Moving on to step 7:
440 divided by 61 is 7 with a remainder of 13.
The number 7 becomes the next digit in our result. 
Result so far: 7064.7
If we subtract 427 from 440, we get 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

On to step 8:
The number 61 fits into 130 2 times, leaving a remainder of 8.
The next digit of our result is 2. 
Result so far: 7064.72
If we take 122 away from 130, we end up with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Let's proceed to step 9:
80 divided by 61 is 1 with a remainder of 19.
The next digit of our result is 1. 
Result so far: 7064.721
The remainder is 19 after subtracting 61 from 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Going ahead to step 10:
190 divided by 61 is 3 with a remainder of 7.
The next digit of our result is 3. 
Result so far: 7064.7213
Subtract 183 from 190 to get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Advancing to step 11:
61 can be fit into 70 1 times, resulting in a remainder of 9.
Record the quotient 1 as the next digit in the result. 
Result so far: 7064.72131
If we take 61 away from 70, we end up 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.

Advancing to step 12:
61 goes into 90 1 times with a remainder of 29.
Use 1 as the next digit of our solution. 
Result so far: 7064.721311
If we subtract 61 from 90, we get 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

In conclusion, the division gives 7064.721311 with a balance of 2.9e-06.