Solve 61575div14

$$61575 \div 14$$

Evaluate

$$\frac{61575}{14}\approx 4398.214285714$$

Steps For Long Division Method

Use the 1^{st} digit 6 from dividend 61575

$$\begin{array}{l}\phantom{14)}\phantom{1}\\14\overline{)61575}\\\end{array}$$

Since 6 is less than 14, use the next digit 1 from dividend 61575 and add 0 to the quotient

$$\begin{array}{l}\phantom{14)}0\phantom{2}\\14\overline{)61575}\\\end{array}$$

Use the 2^{nd} digit 1 from dividend 61575

$$\begin{array}{l}\phantom{14)}0\phantom{3}\\14\overline{)61575}\\\end{array}$$

Find closest multiple of 14 to 61. We see that 4 \times 14 = 56 is the nearest. Now subtract 56 from 61 to get reminder 5. Add 4 to quotient.

$$\begin{array}{l}\phantom{14)}04\phantom{4}\\14\overline{)61575}\\\phantom{14)}\underline{\phantom{}56\phantom{999}}\\\phantom{14)9}5\\\end{array}$$

Use the 3^{rd} digit 5 from dividend 61575

$$\begin{array}{l}\phantom{14)}04\phantom{5}\\14\overline{)61575}\\\phantom{14)}\underline{\phantom{}56\phantom{999}}\\\phantom{14)9}55\\\end{array}$$

Find closest multiple of 14 to 55. We see that 3 \times 14 = 42 is the nearest. Now subtract 42 from 55 to get reminder 13. Add 3 to quotient.

$$\begin{array}{l}\phantom{14)}043\phantom{6}\\14\overline{)61575}\\\phantom{14)}\underline{\phantom{}56\phantom{999}}\\\phantom{14)9}55\\\phantom{14)}\underline{\phantom{9}42\phantom{99}}\\\phantom{14)9}13\\\end{array}$$

Use the 4^{th} digit 7 from dividend 61575

$$\begin{array}{l}\phantom{14)}043\phantom{7}\\14\overline{)61575}\\\phantom{14)}\underline{\phantom{}56\phantom{999}}\\\phantom{14)9}55\\\phantom{14)}\underline{\phantom{9}42\phantom{99}}\\\phantom{14)9}137\\\end{array}$$

Find closest multiple of 14 to 137. We see that 9 \times 14 = 126 is the nearest. Now subtract 126 from 137 to get reminder 11. Add 9 to quotient.

$$\begin{array}{l}\phantom{14)}0439\phantom{8}\\14\overline{)61575}\\\phantom{14)}\underline{\phantom{}56\phantom{999}}\\\phantom{14)9}55\\\phantom{14)}\underline{\phantom{9}42\phantom{99}}\\\phantom{14)9}137\\\phantom{14)}\underline{\phantom{9}126\phantom{9}}\\\phantom{14)99}11\\\end{array}$$

Use the 5^{th} digit 5 from dividend 61575

$$\begin{array}{l}\phantom{14)}0439\phantom{9}\\14\overline{)61575}\\\phantom{14)}\underline{\phantom{}56\phantom{999}}\\\phantom{14)9}55\\\phantom{14)}\underline{\phantom{9}42\phantom{99}}\\\phantom{14)9}137\\\phantom{14)}\underline{\phantom{9}126\phantom{9}}\\\phantom{14)99}115\\\end{array}$$

Find closest multiple of 14 to 115. We see that 8 \times 14 = 112 is the nearest. Now subtract 112 from 115 to get reminder 3. Add 8 to quotient.

$$\begin{array}{l}\phantom{14)}04398\phantom{10}\\14\overline{)61575}\\\phantom{14)}\underline{\phantom{}56\phantom{999}}\\\phantom{14)9}55\\\phantom{14)}\underline{\phantom{9}42\phantom{99}}\\\phantom{14)9}137\\\phantom{14)}\underline{\phantom{9}126\phantom{9}}\\\phantom{14)99}115\\\phantom{14)}\underline{\phantom{99}112\phantom{}}\\\phantom{14)9999}3\\\end{array}$$

Since 3 is less than 14, stop the division. The reminder is 3. The topmost line 04398 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 4398.

$$\text{Quotient: }4398 \text{Reminder: }3$$

Factor

$$\frac{3 \cdot 5 ^ {2} \cdot 821}{2 \cdot 7} = 4398\frac{3}{14} = 4398.214285714285$$