Solve 42,398/731

$$\frac { 42,398 } { 731 }$$

Evaluate

$$58$$

Steps For Long Division Method

Use the 1^{st} digit 4 from dividend 42398

$$\begin{array}{l}\phantom{731)}\phantom{1}\\731\overline{)42398}\\\end{array}$$

Since 4 is less than 731, use the next digit 2 from dividend 42398 and add 0 to the quotient

$$\begin{array}{l}\phantom{731)}0\phantom{2}\\731\overline{)42398}\\\end{array}$$

Use the 2^{nd} digit 2 from dividend 42398

$$\begin{array}{l}\phantom{731)}0\phantom{3}\\731\overline{)42398}\\\end{array}$$

Since 42 is less than 731, use the next digit 3 from dividend 42398 and add 0 to the quotient

$$\begin{array}{l}\phantom{731)}00\phantom{4}\\731\overline{)42398}\\\end{array}$$

Use the 3^{rd} digit 3 from dividend 42398

$$\begin{array}{l}\phantom{731)}00\phantom{5}\\731\overline{)42398}\\\end{array}$$

Since 423 is less than 731, use the next digit 9 from dividend 42398 and add 0 to the quotient

$$\begin{array}{l}\phantom{731)}000\phantom{6}\\731\overline{)42398}\\\end{array}$$

Use the 4^{th} digit 9 from dividend 42398

$$\begin{array}{l}\phantom{731)}000\phantom{7}\\731\overline{)42398}\\\end{array}$$

Find closest multiple of 731 to 4239. We see that 5 \times 731 = 3655 is the nearest. Now subtract 3655 from 4239 to get reminder 584. Add 5 to quotient.

$$\begin{array}{l}\phantom{731)}0005\phantom{8}\\731\overline{)42398}\\\phantom{731)}\underline{\phantom{}3655\phantom{9}}\\\phantom{731)9}584\\\end{array}$$

Use the 5^{th} digit 8 from dividend 42398

$$\begin{array}{l}\phantom{731)}0005\phantom{9}\\731\overline{)42398}\\\phantom{731)}\underline{\phantom{}3655\phantom{9}}\\\phantom{731)9}5848\\\end{array}$$

Find closest multiple of 731 to 5848. We see that 8 \times 731 = 5848 is the nearest. Now subtract 5848 from 5848 to get reminder 0. Add 8 to quotient.

$$\begin{array}{l}\phantom{731)}00058\phantom{10}\\731\overline{)42398}\\\phantom{731)}\underline{\phantom{}3655\phantom{9}}\\\phantom{731)9}5848\\\phantom{731)}\underline{\phantom{9}5848\phantom{}}\\\phantom{731)99999}0\\\end{array}$$

Since 0 is less than 731, stop the division. The reminder is 0. The topmost line 00058 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 58.

$$\text{Quotient: }58 \text{Reminder: }0$$

Factor

$$2\times 29$$