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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 67 · 40 sums
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The trick (Nikhilam Navatashcaramam Dashatah): Write the complement of the divisor (8 → 2, 97 → 03, 88 → 12, 997 → 003, 897 → 103). Split off as many last digits as the base has zeros (1 for 8, 2 for 88, 3 for 997) — that is the remainder part. Bring down each column total, multiply it by the complement, and add the result under the next column(s). If the remainder is not smaller than the divisor, divide it again and add to the quotient.

NameDateTime takenScore ___ / 40
  1. 1.17907 ÷ 98 =
  2. 2.845289 ÷ 997 =
  3. 3.536980 ÷ 998 =
  4. 4.430973 ÷ 998 =
  5. 5.56855 ÷ 98 =
  6. 6.998993 ÷ 897 =
  7. 7.92137 ÷ 96 =
  8. 8.2404 ÷ 8 =
  9. 9.891037 ÷ 997 =
  10. 10.325418 ÷ 988 =
  11. 11.278640 ÷ 997 =
  12. 12.91111 ÷ 88 =
  13. 13.353187 ÷ 897 =
  14. 14.841992 ÷ 998 =
  15. 15.4908 ÷ 8 =
  16. 16.99432 ÷ 98 =
  17. 17.694755 ÷ 997 =
  18. 18.833723 ÷ 998 =
  19. 19.112321 ÷ 897 =
  20. 20.868157 ÷ 998 =
  21. 21.58789 ÷ 96 =
  22. 22.962315 ÷ 897 =
  23. 23.78975 ÷ 988 =
  24. 24.141560 ÷ 989 =
  25. 25.27603 ÷ 98 =
  26. 26.807834 ÷ 988 =
  27. 27.998665 ÷ 998 =
  28. 28.93770 ÷ 998 =
  29. 29.914109 ÷ 988 =
  30. 30.280786 ÷ 989 =
  31. 31.9881 ÷ 8 =
  32. 32.63506 ÷ 998 =
  33. 33.7539 ÷ 98 =
  34. 34.868715 ÷ 897 =
  35. 35.23759 ÷ 96 =
  36. 36.55381 ÷ 97 =
  37. 37.89595 ÷ 97 =
  38. 38.94381 ÷ 89 =
  39. 39.7330 ÷ 8 =
  40. 40.28673 ÷ 96 =

Answer key

  1. 182 rem 71
  2. 847 rem 830
  3. 538 rem 56
  4. 431 rem 835
  5. 580 rem 15
  6. 1113 rem 632
  7. 959 rem 73
  8. 300 rem 4
  9. 893 rem 716
  10. 329 rem 366
  11. 279 rem 477
  12. 1035 rem 31
  13. 393 rem 666
  14. 843 rem 678
  15. 613 rem 4
  16. 1014 rem 60
  17. 696 rem 843
  18. 835 rem 393
  19. 125 rem 196
  20. 869 rem 895
  21. 612 rem 37
  22. 1072 rem 731
  23. 79 rem 923
  24. 143 rem 133
  25. 281 rem 65
  26. 817 rem 638
  27. 1000 rem 665
  28. 93 rem 956
  29. 925 rem 209
  30. 283 rem 899
  31. 1235 rem 1
  32. 63 rem 632
  33. 76 rem 91
  34. 968 rem 419
  35. 247 rem 47
  36. 570 rem 91
  37. 923 rem 64
  38. 1060 rem 41
  39. 916 rem 2
  40. 298 rem 65

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