Solve 8744/51

$$\frac { 8744 } { 51 }$$

Evaluate

$$\frac{8744}{51}\approx 171.450980392$$

Steps For Long Division Method

Use the 1^{st} digit 8 from dividend 8744

$$\begin{array}{l}\phantom{51)}\phantom{1}\\51\overline{)8744}\\\end{array}$$

Since 8 is less than 51, use the next digit 7 from dividend 8744 and add 0 to the quotient

$$\begin{array}{l}\phantom{51)}0\phantom{2}\\51\overline{)8744}\\\end{array}$$

Use the 2^{nd} digit 7 from dividend 8744

$$\begin{array}{l}\phantom{51)}0\phantom{3}\\51\overline{)8744}\\\end{array}$$

Find closest multiple of 51 to 87. We see that 1 \times 51 = 51 is the nearest. Now subtract 51 from 87 to get reminder 36. Add 1 to quotient.

$$\begin{array}{l}\phantom{51)}01\phantom{4}\\51\overline{)8744}\\\phantom{51)}\underline{\phantom{}51\phantom{99}}\\\phantom{51)}36\\\end{array}$$

Use the 3^{rd} digit 4 from dividend 8744

$$\begin{array}{l}\phantom{51)}01\phantom{5}\\51\overline{)8744}\\\phantom{51)}\underline{\phantom{}51\phantom{99}}\\\phantom{51)}364\\\end{array}$$

Find closest multiple of 51 to 364. We see that 7 \times 51 = 357 is the nearest. Now subtract 357 from 364 to get reminder 7. Add 7 to quotient.

$$\begin{array}{l}\phantom{51)}017\phantom{6}\\51\overline{)8744}\\\phantom{51)}\underline{\phantom{}51\phantom{99}}\\\phantom{51)}364\\\phantom{51)}\underline{\phantom{}357\phantom{9}}\\\phantom{51)99}7\\\end{array}$$

Use the 4^{th} digit 4 from dividend 8744

$$\begin{array}{l}\phantom{51)}017\phantom{7}\\51\overline{)8744}\\\phantom{51)}\underline{\phantom{}51\phantom{99}}\\\phantom{51)}364\\\phantom{51)}\underline{\phantom{}357\phantom{9}}\\\phantom{51)99}74\\\end{array}$$

Find closest multiple of 51 to 74. We see that 1 \times 51 = 51 is the nearest. Now subtract 51 from 74 to get reminder 23. Add 1 to quotient.

$$\begin{array}{l}\phantom{51)}0171\phantom{8}\\51\overline{)8744}\\\phantom{51)}\underline{\phantom{}51\phantom{99}}\\\phantom{51)}364\\\phantom{51)}\underline{\phantom{}357\phantom{9}}\\\phantom{51)99}74\\\phantom{51)}\underline{\phantom{99}51\phantom{}}\\\phantom{51)99}23\\\end{array}$$

Since 23 is less than 51, stop the division. The reminder is 23. The topmost line 0171 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 171.

$$\text{Quotient: }171 \text{Reminder: }23$$

Factor

$$\frac{2 ^ {3} \cdot 1093}{3 \cdot 17} = 171\frac{23}{51} = 171.45098039215685$$