Solve 975div45

$$975 \div 45$$

Evaluate

$$\frac{65}{3}\approx 21.666666667$$

Steps For Long Division Method

Use the 1^{st} digit 9 from dividend 975

$$\begin{array}{l}\phantom{45)}\phantom{1}\\45\overline{)975}\\\end{array}$$

Since 9 is less than 45, use the next digit 7 from dividend 975 and add 0 to the quotient

$$\begin{array}{l}\phantom{45)}0\phantom{2}\\45\overline{)975}\\\end{array}$$

Use the 2^{nd} digit 7 from dividend 975

$$\begin{array}{l}\phantom{45)}0\phantom{3}\\45\overline{)975}\\\end{array}$$

Find closest multiple of 45 to 97. We see that 2 \times 45 = 90 is the nearest. Now subtract 90 from 97 to get reminder 7. Add 2 to quotient.

$$\begin{array}{l}\phantom{45)}02\phantom{4}\\45\overline{)975}\\\phantom{45)}\underline{\phantom{}90\phantom{9}}\\\phantom{45)9}7\\\end{array}$$

Use the 3^{rd} digit 5 from dividend 975

$$\begin{array}{l}\phantom{45)}02\phantom{5}\\45\overline{)975}\\\phantom{45)}\underline{\phantom{}90\phantom{9}}\\\phantom{45)9}75\\\end{array}$$

Find closest multiple of 45 to 75. We see that 1 \times 45 = 45 is the nearest. Now subtract 45 from 75 to get reminder 30. Add 1 to quotient.

$$\begin{array}{l}\phantom{45)}021\phantom{6}\\45\overline{)975}\\\phantom{45)}\underline{\phantom{}90\phantom{9}}\\\phantom{45)9}75\\\phantom{45)}\underline{\phantom{9}45\phantom{}}\\\phantom{45)9}30\\\end{array}$$

Since 30 is less than 45, stop the division. The reminder is 30. The topmost line 021 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 21.

$$\text{Quotient: }21 \text{Reminder: }30$$

Factor

$$\frac{5 \cdot 13}{3} = 21\frac{2}{3} = 21.666666666666668$$