Solve 1624div14=

$$1624 \div 14=$$

Evaluate

$$116$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 1624

$$\begin{array}{l}\phantom{14)}\phantom{1}\\14\overline{)1624}\\\end{array}$$

Since 1 is less than 14, use the next digit 6 from dividend 1624 and add 0 to the quotient

$$\begin{array}{l}\phantom{14)}0\phantom{2}\\14\overline{)1624}\\\end{array}$$

Use the 2^{nd} digit 6 from dividend 1624

$$\begin{array}{l}\phantom{14)}0\phantom{3}\\14\overline{)1624}\\\end{array}$$

Find closest multiple of 14 to 16. We see that 1 \times 14 = 14 is the nearest. Now subtract 14 from 16 to get reminder 2. Add 1 to quotient.

$$\begin{array}{l}\phantom{14)}01\phantom{4}\\14\overline{)1624}\\\phantom{14)}\underline{\phantom{}14\phantom{99}}\\\phantom{14)9}2\\\end{array}$$

Use the 3^{rd} digit 2 from dividend 1624

$$\begin{array}{l}\phantom{14)}01\phantom{5}\\14\overline{)1624}\\\phantom{14)}\underline{\phantom{}14\phantom{99}}\\\phantom{14)9}22\\\end{array}$$

Find closest multiple of 14 to 22. We see that 1 \times 14 = 14 is the nearest. Now subtract 14 from 22 to get reminder 8. Add 1 to quotient.

$$\begin{array}{l}\phantom{14)}011\phantom{6}\\14\overline{)1624}\\\phantom{14)}\underline{\phantom{}14\phantom{99}}\\\phantom{14)9}22\\\phantom{14)}\underline{\phantom{9}14\phantom{9}}\\\phantom{14)99}8\\\end{array}$$

Use the 4^{th} digit 4 from dividend 1624

$$\begin{array}{l}\phantom{14)}011\phantom{7}\\14\overline{)1624}\\\phantom{14)}\underline{\phantom{}14\phantom{99}}\\\phantom{14)9}22\\\phantom{14)}\underline{\phantom{9}14\phantom{9}}\\\phantom{14)99}84\\\end{array}$$

Find closest multiple of 14 to 84. We see that 6 \times 14 = 84 is the nearest. Now subtract 84 from 84 to get reminder 0. Add 6 to quotient.

$$\begin{array}{l}\phantom{14)}0116\phantom{8}\\14\overline{)1624}\\\phantom{14)}\underline{\phantom{}14\phantom{99}}\\\phantom{14)9}22\\\phantom{14)}\underline{\phantom{9}14\phantom{9}}\\\phantom{14)99}84\\\phantom{14)}\underline{\phantom{99}84\phantom{}}\\\phantom{14)9999}0\\\end{array}$$

Since 0 is less than 14, stop the division. The reminder is 0. The topmost line 0116 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 116.

$$\text{Quotient: }116 \text{Reminder: }0$$

Factor

$$2^{2}\times 29$$