Solve 4165/78

$$\frac { 4165 } { 78 }$$

Evaluate

$$\frac{4165}{78}\approx 53.397435897$$

Steps For Long Division Method

Use the 1^{st} digit 4 from dividend 4165

$$\begin{array}{l}\phantom{78)}\phantom{1}\\78\overline{)4165}\\\end{array}$$

Since 4 is less than 78, use the next digit 1 from dividend 4165 and add 0 to the quotient

$$\begin{array}{l}\phantom{78)}0\phantom{2}\\78\overline{)4165}\\\end{array}$$

Use the 2^{nd} digit 1 from dividend 4165

$$\begin{array}{l}\phantom{78)}0\phantom{3}\\78\overline{)4165}\\\end{array}$$

Since 41 is less than 78, use the next digit 6 from dividend 4165 and add 0 to the quotient

$$\begin{array}{l}\phantom{78)}00\phantom{4}\\78\overline{)4165}\\\end{array}$$

Use the 3^{rd} digit 6 from dividend 4165

$$\begin{array}{l}\phantom{78)}00\phantom{5}\\78\overline{)4165}\\\end{array}$$

Find closest multiple of 78 to 416. We see that 5 \times 78 = 390 is the nearest. Now subtract 390 from 416 to get reminder 26. Add 5 to quotient.

$$\begin{array}{l}\phantom{78)}005\phantom{6}\\78\overline{)4165}\\\phantom{78)}\underline{\phantom{}390\phantom{9}}\\\phantom{78)9}26\\\end{array}$$

Use the 4^{th} digit 5 from dividend 4165

$$\begin{array}{l}\phantom{78)}005\phantom{7}\\78\overline{)4165}\\\phantom{78)}\underline{\phantom{}390\phantom{9}}\\\phantom{78)9}265\\\end{array}$$

Find closest multiple of 78 to 265. We see that 3 \times 78 = 234 is the nearest. Now subtract 234 from 265 to get reminder 31. Add 3 to quotient.

$$\begin{array}{l}\phantom{78)}0053\phantom{8}\\78\overline{)4165}\\\phantom{78)}\underline{\phantom{}390\phantom{9}}\\\phantom{78)9}265\\\phantom{78)}\underline{\phantom{9}234\phantom{}}\\\phantom{78)99}31\\\end{array}$$

Since 31 is less than 78, stop the division. The reminder is 31. The topmost line 0053 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 53.

$$\text{Quotient: }53 \text{Reminder: }31$$

Factor

$$\frac{5 \cdot 7 ^ {2} \cdot 17}{2 \cdot 3 \cdot 13} = 53\frac{31}{78} = 53.3974358974359$$