Solve 9,430/13

$$\frac { 9,430 } { 13 }$$

Evaluate

$$\frac{9430}{13}\approx 725.384615385$$

Steps For Long Division Method

Use the 1^{st} digit 9 from dividend 9430

$$\begin{array}{l}\phantom{13)}\phantom{1}\\13\overline{)9430}\\\end{array}$$

Since 9 is less than 13, use the next digit 4 from dividend 9430 and add 0 to the quotient

$$\begin{array}{l}\phantom{13)}0\phantom{2}\\13\overline{)9430}\\\end{array}$$

Use the 2^{nd} digit 4 from dividend 9430

$$\begin{array}{l}\phantom{13)}0\phantom{3}\\13\overline{)9430}\\\end{array}$$

Find closest multiple of 13 to 94. We see that 7 \times 13 = 91 is the nearest. Now subtract 91 from 94 to get reminder 3. Add 7 to quotient.

$$\begin{array}{l}\phantom{13)}07\phantom{4}\\13\overline{)9430}\\\phantom{13)}\underline{\phantom{}91\phantom{99}}\\\phantom{13)9}3\\\end{array}$$

Use the 3^{rd} digit 3 from dividend 9430

$$\begin{array}{l}\phantom{13)}07\phantom{5}\\13\overline{)9430}\\\phantom{13)}\underline{\phantom{}91\phantom{99}}\\\phantom{13)9}33\\\end{array}$$

Find closest multiple of 13 to 33. We see that 2 \times 13 = 26 is the nearest. Now subtract 26 from 33 to get reminder 7. Add 2 to quotient.

$$\begin{array}{l}\phantom{13)}072\phantom{6}\\13\overline{)9430}\\\phantom{13)}\underline{\phantom{}91\phantom{99}}\\\phantom{13)9}33\\\phantom{13)}\underline{\phantom{9}26\phantom{9}}\\\phantom{13)99}7\\\end{array}$$

Use the 4^{th} digit 0 from dividend 9430

$$\begin{array}{l}\phantom{13)}072\phantom{7}\\13\overline{)9430}\\\phantom{13)}\underline{\phantom{}91\phantom{99}}\\\phantom{13)9}33\\\phantom{13)}\underline{\phantom{9}26\phantom{9}}\\\phantom{13)99}70\\\end{array}$$

Find closest multiple of 13 to 70. We see that 5 \times 13 = 65 is the nearest. Now subtract 65 from 70 to get reminder 5. Add 5 to quotient.

$$\begin{array}{l}\phantom{13)}0725\phantom{8}\\13\overline{)9430}\\\phantom{13)}\underline{\phantom{}91\phantom{99}}\\\phantom{13)9}33\\\phantom{13)}\underline{\phantom{9}26\phantom{9}}\\\phantom{13)99}70\\\phantom{13)}\underline{\phantom{99}65\phantom{}}\\\phantom{13)999}5\\\end{array}$$

Since 5 is less than 13, stop the division. The reminder is 5. The topmost line 0725 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 725.

$$\text{Quotient: }725 \text{Reminder: }5$$

Factor

$$\frac{2 \cdot 5 \cdot 23 \cdot 41}{13} = 725\frac{5}{13} = 725.3846153846154$$