Solve 2984/46

$$\frac { 2984 } { 46 }$$

Evaluate

$$\frac{1492}{23}\approx 64.869565217$$

Steps For Long Division Method

Use the 1^{st} digit 2 from dividend 2984

$$\begin{array}{l}\phantom{46)}\phantom{1}\\46\overline{)2984}\\\end{array}$$

Since 2 is less than 46, use the next digit 9 from dividend 2984 and add 0 to the quotient

$$\begin{array}{l}\phantom{46)}0\phantom{2}\\46\overline{)2984}\\\end{array}$$

Use the 2^{nd} digit 9 from dividend 2984

$$\begin{array}{l}\phantom{46)}0\phantom{3}\\46\overline{)2984}\\\end{array}$$

Since 29 is less than 46, use the next digit 8 from dividend 2984 and add 0 to the quotient

$$\begin{array}{l}\phantom{46)}00\phantom{4}\\46\overline{)2984}\\\end{array}$$

Use the 3^{rd} digit 8 from dividend 2984

$$\begin{array}{l}\phantom{46)}00\phantom{5}\\46\overline{)2984}\\\end{array}$$

Find closest multiple of 46 to 298. We see that 6 \times 46 = 276 is the nearest. Now subtract 276 from 298 to get reminder 22. Add 6 to quotient.

$$\begin{array}{l}\phantom{46)}006\phantom{6}\\46\overline{)2984}\\\phantom{46)}\underline{\phantom{}276\phantom{9}}\\\phantom{46)9}22\\\end{array}$$

Use the 4^{th} digit 4 from dividend 2984

$$\begin{array}{l}\phantom{46)}006\phantom{7}\\46\overline{)2984}\\\phantom{46)}\underline{\phantom{}276\phantom{9}}\\\phantom{46)9}224\\\end{array}$$

Find closest multiple of 46 to 224. We see that 4 \times 46 = 184 is the nearest. Now subtract 184 from 224 to get reminder 40. Add 4 to quotient.

$$\begin{array}{l}\phantom{46)}0064\phantom{8}\\46\overline{)2984}\\\phantom{46)}\underline{\phantom{}276\phantom{9}}\\\phantom{46)9}224\\\phantom{46)}\underline{\phantom{9}184\phantom{}}\\\phantom{46)99}40\\\end{array}$$

Since 40 is less than 46, stop the division. The reminder is 40. The topmost line 0064 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 64.

$$\text{Quotient: }64 \text{Reminder: }40$$

Factor

$$\frac{2 ^ {2} \cdot 373}{23} = 64\frac{20}{23} = 64.8695652173913$$