Solve 10658div73

$$10658 \div 73$$

Evaluate

$$146$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 10658

$$\begin{array}{l}\phantom{73)}\phantom{1}\\73\overline{)10658}\\\end{array}$$

Since 1 is less than 73, use the next digit 0 from dividend 10658 and add 0 to the quotient

$$\begin{array}{l}\phantom{73)}0\phantom{2}\\73\overline{)10658}\\\end{array}$$

Use the 2^{nd} digit 0 from dividend 10658

$$\begin{array}{l}\phantom{73)}0\phantom{3}\\73\overline{)10658}\\\end{array}$$

Since 10 is less than 73, use the next digit 6 from dividend 10658 and add 0 to the quotient

$$\begin{array}{l}\phantom{73)}00\phantom{4}\\73\overline{)10658}\\\end{array}$$

Use the 3^{rd} digit 6 from dividend 10658

$$\begin{array}{l}\phantom{73)}00\phantom{5}\\73\overline{)10658}\\\end{array}$$

Find closest multiple of 73 to 106. We see that 1 \times 73 = 73 is the nearest. Now subtract 73 from 106 to get reminder 33. Add 1 to quotient.

$$\begin{array}{l}\phantom{73)}001\phantom{6}\\73\overline{)10658}\\\phantom{73)}\underline{\phantom{9}73\phantom{99}}\\\phantom{73)9}33\\\end{array}$$

Use the 4^{th} digit 5 from dividend 10658

$$\begin{array}{l}\phantom{73)}001\phantom{7}\\73\overline{)10658}\\\phantom{73)}\underline{\phantom{9}73\phantom{99}}\\\phantom{73)9}335\\\end{array}$$

Find closest multiple of 73 to 335. We see that 4 \times 73 = 292 is the nearest. Now subtract 292 from 335 to get reminder 43. Add 4 to quotient.

$$\begin{array}{l}\phantom{73)}0014\phantom{8}\\73\overline{)10658}\\\phantom{73)}\underline{\phantom{9}73\phantom{99}}\\\phantom{73)9}335\\\phantom{73)}\underline{\phantom{9}292\phantom{9}}\\\phantom{73)99}43\\\end{array}$$

Use the 5^{th} digit 8 from dividend 10658

$$\begin{array}{l}\phantom{73)}0014\phantom{9}\\73\overline{)10658}\\\phantom{73)}\underline{\phantom{9}73\phantom{99}}\\\phantom{73)9}335\\\phantom{73)}\underline{\phantom{9}292\phantom{9}}\\\phantom{73)99}438\\\end{array}$$

Find closest multiple of 73 to 438. We see that 6 \times 73 = 438 is the nearest. Now subtract 438 from 438 to get reminder 0. Add 6 to quotient.

$$\begin{array}{l}\phantom{73)}00146\phantom{10}\\73\overline{)10658}\\\phantom{73)}\underline{\phantom{9}73\phantom{99}}\\\phantom{73)9}335\\\phantom{73)}\underline{\phantom{9}292\phantom{9}}\\\phantom{73)99}438\\\phantom{73)}\underline{\phantom{99}438\phantom{}}\\\phantom{73)99999}0\\\end{array}$$

Since 0 is less than 73, stop the division. The reminder is 0. The topmost line 00146 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 146.

$$\text{Quotient: }146 \text{Reminder: }0$$

Factor

$$2\times 73$$