We look at the division of 421153 by 59 
We want to figure out the number of times 421153 can be divided by 59.

Going ahead to step 1:
59 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
Deduct 0 from 4 and we're left with 4.
Include the next digit (2) from the dividend after 4, then repeat: 42 / 59

Let's proceed to step 2:
When dividing 42 by 59, we get 0 with a remainder of 42.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 42 after subtracting 0 from 42.
Include the next digit (1) from the dividend after 42, then repeat: 421 / 59

Let's proceed to step 3:
If we divide 421 by 59, we get 7 and a remainder of 8.
The next digit of our result is 7. 
Result so far: 7.0
If we subtract 413 from 421, we get 8.
Bring next digit (1) of the dividend behind the 8 and repeat the process: 81 / 59

Step 4:
59 can be fit into 81 1 times, resulting in a remainder of 22.
The number 1 becomes the next digit in our result. 
Result so far: 71.0
Deduct 59 from 81 and we're left with 22.
Include the next digit (5) from the dividend after 22, then repeat: 225 / 59

Going ahead to step 5:
When dividing 225 by 59, we get 3 with a remainder of 48.
Write down 3 as next digit of the result. 
Result so far: 713.0
If we subtract 177 from 225, we get 48.
Take the next digit (3) from the dividend and append it to 48, then repeat: 483 / 59

Going ahead to step 6:
When dividing 483 by 59, we get 8 with a remainder of 11.
Record the quotient 8 as the next digit in the result. 
Result so far: 7138.0
Deduct 472 from 483 and we're left with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Advancing to step 7:
59 can be fit into 110 1 times, resulting in a remainder of 51.
Record the quotient 1 as the next digit in the result. 
Result so far: 7138.1
Subtract 59 from 110 to get 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 8:
When dividing 510 by 59, we get 8 with a remainder of 38.
The number 8 becomes the next digit in our result. 
Result so far: 7138.18
If we subtract 472 from 510, we 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.

Advancing to step 9:
The number 59 fits into 380 6 times, leaving a remainder of 26.
Write down 6 as next digit of the result. 
Result so far: 7138.186
The remainder is 26 after subtracting 354 from 380.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

On to step 10:
When dividing 260 by 59, we get 4 with a remainder of 24.
Put 4 as the next digit of the answer. 
Result so far: 7138.1864
Subtracting 236 from 260 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.

Going ahead to step 11:
59 goes into 240 4 times with a remainder of 4.
The next digit of our result is 4. 
Result so far: 7138.18644
Subtracting 236 from 240 leaves us with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

The final outcome is 7138.18644, with a leftover of 4e-06.