Solve 968:45

$$968 : 45$$

Evaluate

$$\frac{968}{45}\approx 21.511111111$$

Steps For Long Division Method

Use the 1^{st} digit 9 from dividend 968

$$\begin{array}{l}\phantom{45)}\phantom{1}\\45\overline{)968}\\\end{array}$$

Since 9 is less than 45, use the next digit 6 from dividend 968 and add 0 to the quotient

$$\begin{array}{l}\phantom{45)}0\phantom{2}\\45\overline{)968}\\\end{array}$$

Use the 2^{nd} digit 6 from dividend 968

$$\begin{array}{l}\phantom{45)}0\phantom{3}\\45\overline{)968}\\\end{array}$$

Find closest multiple of 45 to 96. We see that 2 \times 45 = 90 is the nearest. Now subtract 90 from 96 to get reminder 6. Add 2 to quotient.

$$\begin{array}{l}\phantom{45)}02\phantom{4}\\45\overline{)968}\\\phantom{45)}\underline{\phantom{}90\phantom{9}}\\\phantom{45)9}6\\\end{array}$$

Use the 3^{rd} digit 8 from dividend 968

$$\begin{array}{l}\phantom{45)}02\phantom{5}\\45\overline{)968}\\\phantom{45)}\underline{\phantom{}90\phantom{9}}\\\phantom{45)9}68\\\end{array}$$

Find closest multiple of 45 to 68. We see that 1 \times 45 = 45 is the nearest. Now subtract 45 from 68 to get reminder 23. Add 1 to quotient.

$$\begin{array}{l}\phantom{45)}021\phantom{6}\\45\overline{)968}\\\phantom{45)}\underline{\phantom{}90\phantom{9}}\\\phantom{45)9}68\\\phantom{45)}\underline{\phantom{9}45\phantom{}}\\\phantom{45)9}23\\\end{array}$$

Since 23 is less than 45, stop the division. The reminder is 23. The topmost line 021 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 21.

$$\text{Quotient: }21 \text{Reminder: }23$$

Factor

$$\frac{2 ^ {3} \cdot 11 ^ {2}}{3 ^ {2} \cdot 5} = 21\frac{23}{45} = 21.511111111111113$$