Solve 94,556:14=

$$94,556 : 14 =$$

Evaluate

$$6754$$

Steps For Long Division Method

Use the 1^{st} digit 9 from dividend 94556

$$\begin{array}{l}\phantom{14)}\phantom{1}\\14\overline{)94556}\\\end{array}$$

Since 9 is less than 14, use the next digit 4 from dividend 94556 and add 0 to the quotient

$$\begin{array}{l}\phantom{14)}0\phantom{2}\\14\overline{)94556}\\\end{array}$$

Use the 2^{nd} digit 4 from dividend 94556

$$\begin{array}{l}\phantom{14)}0\phantom{3}\\14\overline{)94556}\\\end{array}$$

Find closest multiple of 14 to 94. We see that 6 \times 14 = 84 is the nearest. Now subtract 84 from 94 to get reminder 10. Add 6 to quotient.

$$\begin{array}{l}\phantom{14)}06\phantom{4}\\14\overline{)94556}\\\phantom{14)}\underline{\phantom{}84\phantom{999}}\\\phantom{14)}10\\\end{array}$$

Use the 3^{rd} digit 5 from dividend 94556

$$\begin{array}{l}\phantom{14)}06\phantom{5}\\14\overline{)94556}\\\phantom{14)}\underline{\phantom{}84\phantom{999}}\\\phantom{14)}105\\\end{array}$$

Find closest multiple of 14 to 105. We see that 7 \times 14 = 98 is the nearest. Now subtract 98 from 105 to get reminder 7. Add 7 to quotient.

$$\begin{array}{l}\phantom{14)}067\phantom{6}\\14\overline{)94556}\\\phantom{14)}\underline{\phantom{}84\phantom{999}}\\\phantom{14)}105\\\phantom{14)}\underline{\phantom{9}98\phantom{99}}\\\phantom{14)99}7\\\end{array}$$

Use the 4^{th} digit 5 from dividend 94556

$$\begin{array}{l}\phantom{14)}067\phantom{7}\\14\overline{)94556}\\\phantom{14)}\underline{\phantom{}84\phantom{999}}\\\phantom{14)}105\\\phantom{14)}\underline{\phantom{9}98\phantom{99}}\\\phantom{14)99}75\\\end{array}$$

Find closest multiple of 14 to 75. We see that 5 \times 14 = 70 is the nearest. Now subtract 70 from 75 to get reminder 5. Add 5 to quotient.

$$\begin{array}{l}\phantom{14)}0675\phantom{8}\\14\overline{)94556}\\\phantom{14)}\underline{\phantom{}84\phantom{999}}\\\phantom{14)}105\\\phantom{14)}\underline{\phantom{9}98\phantom{99}}\\\phantom{14)99}75\\\phantom{14)}\underline{\phantom{99}70\phantom{9}}\\\phantom{14)999}5\\\end{array}$$

Use the 5^{th} digit 6 from dividend 94556

$$\begin{array}{l}\phantom{14)}0675\phantom{9}\\14\overline{)94556}\\\phantom{14)}\underline{\phantom{}84\phantom{999}}\\\phantom{14)}105\\\phantom{14)}\underline{\phantom{9}98\phantom{99}}\\\phantom{14)99}75\\\phantom{14)}\underline{\phantom{99}70\phantom{9}}\\\phantom{14)999}56\\\end{array}$$

Find closest multiple of 14 to 56. We see that 4 \times 14 = 56 is the nearest. Now subtract 56 from 56 to get reminder 0. Add 4 to quotient.

$$\begin{array}{l}\phantom{14)}06754\phantom{10}\\14\overline{)94556}\\\phantom{14)}\underline{\phantom{}84\phantom{999}}\\\phantom{14)}105\\\phantom{14)}\underline{\phantom{9}98\phantom{99}}\\\phantom{14)99}75\\\phantom{14)}\underline{\phantom{99}70\phantom{9}}\\\phantom{14)999}56\\\phantom{14)}\underline{\phantom{999}56\phantom{}}\\\phantom{14)99999}0\\\end{array}$$

Since 0 is less than 14, stop the division. The reminder is 0. The topmost line 06754 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 6754.

$$\text{Quotient: }6754 \text{Reminder: }0$$

Factor

$$2\times 11\times 307$$