Solve 8967/73

$$\frac { 8967 } { 73 }$$

Evaluate

$$\frac{8967}{73}\approx 122.835616438$$

Steps For Long Division Method

Use the 1^{st} digit 8 from dividend 8967

$$\begin{array}{l}\phantom{73)}\phantom{1}\\73\overline{)8967}\\\end{array}$$

Since 8 is less than 73, use the next digit 9 from dividend 8967 and add 0 to the quotient

$$\begin{array}{l}\phantom{73)}0\phantom{2}\\73\overline{)8967}\\\end{array}$$

Use the 2^{nd} digit 9 from dividend 8967

$$\begin{array}{l}\phantom{73)}0\phantom{3}\\73\overline{)8967}\\\end{array}$$

Find closest multiple of 73 to 89. We see that 1 \times 73 = 73 is the nearest. Now subtract 73 from 89 to get reminder 16. Add 1 to quotient.

$$\begin{array}{l}\phantom{73)}01\phantom{4}\\73\overline{)8967}\\\phantom{73)}\underline{\phantom{}73\phantom{99}}\\\phantom{73)}16\\\end{array}$$

Use the 3^{rd} digit 6 from dividend 8967

$$\begin{array}{l}\phantom{73)}01\phantom{5}\\73\overline{)8967}\\\phantom{73)}\underline{\phantom{}73\phantom{99}}\\\phantom{73)}166\\\end{array}$$

Find closest multiple of 73 to 166. We see that 2 \times 73 = 146 is the nearest. Now subtract 146 from 166 to get reminder 20. Add 2 to quotient.

$$\begin{array}{l}\phantom{73)}012\phantom{6}\\73\overline{)8967}\\\phantom{73)}\underline{\phantom{}73\phantom{99}}\\\phantom{73)}166\\\phantom{73)}\underline{\phantom{}146\phantom{9}}\\\phantom{73)9}20\\\end{array}$$

Use the 4^{th} digit 7 from dividend 8967

$$\begin{array}{l}\phantom{73)}012\phantom{7}\\73\overline{)8967}\\\phantom{73)}\underline{\phantom{}73\phantom{99}}\\\phantom{73)}166\\\phantom{73)}\underline{\phantom{}146\phantom{9}}\\\phantom{73)9}207\\\end{array}$$

Find closest multiple of 73 to 207. We see that 2 \times 73 = 146 is the nearest. Now subtract 146 from 207 to get reminder 61. Add 2 to quotient.

$$\begin{array}{l}\phantom{73)}0122\phantom{8}\\73\overline{)8967}\\\phantom{73)}\underline{\phantom{}73\phantom{99}}\\\phantom{73)}166\\\phantom{73)}\underline{\phantom{}146\phantom{9}}\\\phantom{73)9}207\\\phantom{73)}\underline{\phantom{9}146\phantom{}}\\\phantom{73)99}61\\\end{array}$$

Since 61 is less than 73, stop the division. The reminder is 61. The topmost line 0122 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 122.

$$\text{Quotient: }122 \text{Reminder: }61$$

Factor

$$\frac{3 \cdot 7 ^ {2} \cdot 61}{73} = 122\frac{61}{73} = 122.83561643835617$$