Solve 8905div113

$$8905 \div 113$$

Evaluate

$$\frac{8905}{113}\approx 78.805309735$$

Steps For Long Division Method

Use the 1^{st} digit 8 from dividend 8905

$$\begin{array}{l}\phantom{113)}\phantom{1}\\113\overline{)8905}\\\end{array}$$

Since 8 is less than 113, use the next digit 9 from dividend 8905 and add 0 to the quotient

$$\begin{array}{l}\phantom{113)}0\phantom{2}\\113\overline{)8905}\\\end{array}$$

Use the 2^{nd} digit 9 from dividend 8905

$$\begin{array}{l}\phantom{113)}0\phantom{3}\\113\overline{)8905}\\\end{array}$$

Since 89 is less than 113, use the next digit 0 from dividend 8905 and add 0 to the quotient

$$\begin{array}{l}\phantom{113)}00\phantom{4}\\113\overline{)8905}\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 8905

$$\begin{array}{l}\phantom{113)}00\phantom{5}\\113\overline{)8905}\\\end{array}$$

Find closest multiple of 113 to 890. We see that 7 \times 113 = 791 is the nearest. Now subtract 791 from 890 to get reminder 99. Add 7 to quotient.

$$\begin{array}{l}\phantom{113)}007\phantom{6}\\113\overline{)8905}\\\phantom{113)}\underline{\phantom{}791\phantom{9}}\\\phantom{113)9}99\\\end{array}$$

Use the 4^{th} digit 5 from dividend 8905

$$\begin{array}{l}\phantom{113)}007\phantom{7}\\113\overline{)8905}\\\phantom{113)}\underline{\phantom{}791\phantom{9}}\\\phantom{113)9}995\\\end{array}$$

Find closest multiple of 113 to 995. We see that 8 \times 113 = 904 is the nearest. Now subtract 904 from 995 to get reminder 91. Add 8 to quotient.

$$\begin{array}{l}\phantom{113)}0078\phantom{8}\\113\overline{)8905}\\\phantom{113)}\underline{\phantom{}791\phantom{9}}\\\phantom{113)9}995\\\phantom{113)}\underline{\phantom{9}904\phantom{}}\\\phantom{113)99}91\\\end{array}$$

Since 91 is less than 113, stop the division. The reminder is 91. The topmost line 0078 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 78.

$$\text{Quotient: }78 \text{Reminder: }91$$

Factor

$$\frac{5 \cdot 13 \cdot 137}{113} = 78\frac{91}{113} = 78.80530973451327$$