We're dividing 953470 by 59 
We're looking to find how many times 59 goes into 953470.

Step 1:
If we divide 9 by 59, we get 0 and a remainder of 9.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 9 after subtracting 0 from 9.
Append the next digit (5) from the dividend to 9 and continue with: 95 / 59

Advancing to step 2:
The number 59 fits into 95 1 times, leaving a remainder of 36.
Put 1 as the next digit of the answer. 
Result so far: 1.0
If we take 59 away from 95, we end up with 36.
Take the next digit (3) from the dividend and append it to 36, then repeat: 363 / 59

Moving on to step 3:
59 can be fit into 363 6 times, resulting in a remainder of 9.
Write down 6 as next digit of the result. 
Result so far: 16.0
The remainder is 9 after subtracting 354 from 363.
Bring next digit (4) of the dividend behind the 9 and repeat the process: 94 / 59

On to step 4:
If we divide 94 by 59, we get 1 and a remainder of 35.
Record the quotient 1 as the next digit in the result. 
Result so far: 161.0
The remainder is 35 after subtracting 59 from 94.
Include the next digit (7) from the dividend after 35, then repeat: 357 / 59

Advancing to step 5:
When dividing 357 by 59, we get 6 with a remainder of 3.
The number 6 becomes the next digit in our result. 
Result so far: 1616.0
If we take 354 away from 357, we end up with 3.
Bring next digit (0) of the dividend behind the 3 and repeat the process: 30 / 59

Step 6:
59 goes into 30 0 times with a remainder of 30.
The number 0 becomes the next digit in our result. 
Result so far: 16160.0
If we take 0 away from 30, we end up with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Let's proceed to step 7:
300 divided by 59 is 5 with a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 16160.5
If we subtract 295 from 300, we get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Going ahead to step 8:
When dividing 50 by 59, we get 0 with a remainder of 50.
Use 0 as the next digit of our solution. 
Result so far: 16160.5
The remainder is 50 after subtracting 0 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Let's proceed to step 9:
The number 59 fits into 500 8 times, leaving a remainder of 28.
The next digit of our result is 8. 
Result so far: 16160.508
Subtract 472 from 500 to get 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

On to step 10:
59 goes into 280 4 times with a remainder of 44.
Write down 4 as next digit of the result. 
Result so far: 16160.5084
Subtract 236 from 280 to get 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Step 11:
If we divide 440 by 59, we get 7 and a remainder of 27.
The number 7 becomes the next digit in our result. 
Result so far: 16160.50847
Deduct 413 from 440 and we're left with 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Advancing to step 12:
When dividing 270 by 59, we get 4 with a remainder of 34.
Put 4 as the next digit of the answer. 
Result so far: 16160.508474
Subtracting 236 from 270 leaves us with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

On to step 13:
When dividing 340 by 59, we get 5 with a remainder of 45.
Record the quotient 5 as the next digit in the result. 
Result so far: 16160.5084745
Subtracting 295 from 340 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.

Moving on to step 14:
59 can be fit into 450 7 times, resulting in a remainder of 37.
Use 7 as the next digit of our solution. 
Result so far: 16160.50847457
Subtract 413 from 450 to get 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

The final result is 16160.50847457 with a remainder of 3.7e-08.