Solve 9102:74

$$9102 : 74$$

Evaluate

$$123$$

Steps For Long Division Method

Use the 1^{st} digit 9 from dividend 9102

$$\begin{array}{l}\phantom{74)}\phantom{1}\\74\overline{)9102}\\\end{array}$$

Since 9 is less than 74, use the next digit 1 from dividend 9102 and add 0 to the quotient

$$\begin{array}{l}\phantom{74)}0\phantom{2}\\74\overline{)9102}\\\end{array}$$

Use the 2^{nd} digit 1 from dividend 9102

$$\begin{array}{l}\phantom{74)}0\phantom{3}\\74\overline{)9102}\\\end{array}$$

Find closest multiple of 74 to 91. We see that 1 \times 74 = 74 is the nearest. Now subtract 74 from 91 to get reminder 17. Add 1 to quotient.

$$\begin{array}{l}\phantom{74)}01\phantom{4}\\74\overline{)9102}\\\phantom{74)}\underline{\phantom{}74\phantom{99}}\\\phantom{74)}17\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 9102

$$\begin{array}{l}\phantom{74)}01\phantom{5}\\74\overline{)9102}\\\phantom{74)}\underline{\phantom{}74\phantom{99}}\\\phantom{74)}170\\\end{array}$$

Find closest multiple of 74 to 170. We see that 2 \times 74 = 148 is the nearest. Now subtract 148 from 170 to get reminder 22. Add 2 to quotient.

$$\begin{array}{l}\phantom{74)}012\phantom{6}\\74\overline{)9102}\\\phantom{74)}\underline{\phantom{}74\phantom{99}}\\\phantom{74)}170\\\phantom{74)}\underline{\phantom{}148\phantom{9}}\\\phantom{74)9}22\\\end{array}$$

Use the 4^{th} digit 2 from dividend 9102

$$\begin{array}{l}\phantom{74)}012\phantom{7}\\74\overline{)9102}\\\phantom{74)}\underline{\phantom{}74\phantom{99}}\\\phantom{74)}170\\\phantom{74)}\underline{\phantom{}148\phantom{9}}\\\phantom{74)9}222\\\end{array}$$

Find closest multiple of 74 to 222. We see that 3 \times 74 = 222 is the nearest. Now subtract 222 from 222 to get reminder 0. Add 3 to quotient.

$$\begin{array}{l}\phantom{74)}0123\phantom{8}\\74\overline{)9102}\\\phantom{74)}\underline{\phantom{}74\phantom{99}}\\\phantom{74)}170\\\phantom{74)}\underline{\phantom{}148\phantom{9}}\\\phantom{74)9}222\\\phantom{74)}\underline{\phantom{9}222\phantom{}}\\\phantom{74)9999}0\\\end{array}$$

Since 0 is less than 74, stop the division. The reminder is 0. The topmost line 0123 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 123.

$$\text{Quotient: }123 \text{Reminder: }0$$

Factor

$$3\times 41$$