Solve 16,629div241=

$$16,629 \div 241 =$$

Evaluate

$$69$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 16629

$$\begin{array}{l}\phantom{241)}\phantom{1}\\241\overline{)16629}\\\end{array}$$

Since 1 is less than 241, use the next digit 6 from dividend 16629 and add 0 to the quotient

$$\begin{array}{l}\phantom{241)}0\phantom{2}\\241\overline{)16629}\\\end{array}$$

Use the 2^{nd} digit 6 from dividend 16629

$$\begin{array}{l}\phantom{241)}0\phantom{3}\\241\overline{)16629}\\\end{array}$$

Since 16 is less than 241, use the next digit 6 from dividend 16629 and add 0 to the quotient

$$\begin{array}{l}\phantom{241)}00\phantom{4}\\241\overline{)16629}\\\end{array}$$

Use the 3^{rd} digit 6 from dividend 16629

$$\begin{array}{l}\phantom{241)}00\phantom{5}\\241\overline{)16629}\\\end{array}$$

Since 166 is less than 241, use the next digit 2 from dividend 16629 and add 0 to the quotient

$$\begin{array}{l}\phantom{241)}000\phantom{6}\\241\overline{)16629}\\\end{array}$$

Use the 4^{th} digit 2 from dividend 16629

$$\begin{array}{l}\phantom{241)}000\phantom{7}\\241\overline{)16629}\\\end{array}$$

Find closest multiple of 241 to 1662. We see that 6 \times 241 = 1446 is the nearest. Now subtract 1446 from 1662 to get reminder 216. Add 6 to quotient.

$$\begin{array}{l}\phantom{241)}0006\phantom{8}\\241\overline{)16629}\\\phantom{241)}\underline{\phantom{}1446\phantom{9}}\\\phantom{241)9}216\\\end{array}$$

Use the 5^{th} digit 9 from dividend 16629

$$\begin{array}{l}\phantom{241)}0006\phantom{9}\\241\overline{)16629}\\\phantom{241)}\underline{\phantom{}1446\phantom{9}}\\\phantom{241)9}2169\\\end{array}$$

Find closest multiple of 241 to 2169. We see that 9 \times 241 = 2169 is the nearest. Now subtract 2169 from 2169 to get reminder 0. Add 9 to quotient.

$$\begin{array}{l}\phantom{241)}00069\phantom{10}\\241\overline{)16629}\\\phantom{241)}\underline{\phantom{}1446\phantom{9}}\\\phantom{241)9}2169\\\phantom{241)}\underline{\phantom{9}2169\phantom{}}\\\phantom{241)99999}0\\\end{array}$$

Since 0 is less than 241, stop the division. The reminder is 0. The topmost line 00069 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 69.

$$\text{Quotient: }69 \text{Reminder: }0$$

Factor

$$3\times 23$$