In partial quotients, we make good estimates of how many times the divisor [tex]26[/tex] goes in to the dividend, [tex]986[/tex].
The number of steps it takes you to get to the remainder and quotient depends on how good your estimates are. For instance in the above diagram. You can see two different approaches of dividing 986 by 26 using partial quotients.
In the second approach in which there are fewer steps, We estimated that there are about 35 [26s] in 986. The 35 is our first partial quotient. We then multiply
[tex]26\times 35=910[/tex]
Next we subtract
[tex]986-910=76[/tex]
We again estimated that there are at least 2 [26s] in 76. The 2 is our second partial quotient.
We then multiply again,
[tex]26\times2=52[/tex]
Next, we subtract,
[tex]76-52=24[/tex]
Now there are no 26s in 24. Hence 24 is the remainder.
[tex]<b>If we add all the partial quotients, we obtain the quotient which is 37</b>[/tex]
