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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 459 · 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. 1.66750 ÷ 97 =
  2. 2.149103 ÷ 998 =
  3. 3.34902 ÷ 98 =
  4. 4.66114 ÷ 98 =
  5. 5.3433 ÷ 97 =
  6. 6.40969 ÷ 897 =
  7. 7.94178 ÷ 89 =
  8. 8.851939 ÷ 989 =
  9. 9.17789 ÷ 96 =
  10. 10.98198 ÷ 89 =
  11. 11.79802 ÷ 96 =
  12. 12.641878 ÷ 988 =
  13. 13.79475 ÷ 89 =
  14. 14.318600 ÷ 897 =
  15. 15.72799 ÷ 97 =
  16. 16.94369 ÷ 98 =
  17. 17.69273 ÷ 97 =
  18. 18.695992 ÷ 998 =
  19. 19.45519 ÷ 97 =
  20. 20.159864 ÷ 897 =
  21. 21.22873 ÷ 89 =
  22. 22.564196 ÷ 997 =
  23. 23.617074 ÷ 997 =
  24. 24.39774 ÷ 998 =
  25. 25.65741 ÷ 89 =
  26. 26.610155 ÷ 989 =
  27. 27.53975 ÷ 88 =
  28. 28.59742 ÷ 88 =
  29. 29.789305 ÷ 897 =
  30. 30.282 ÷ 8 =
  31. 31.554231 ÷ 988 =
  32. 32.57989 ÷ 97 =
  33. 33.961636 ÷ 988 =
  34. 34.28620 ÷ 97 =
  35. 35.80576 ÷ 98 =
  36. 36.216989 ÷ 897 =
  37. 37.23406 ÷ 97 =
  38. 38.20022 ÷ 997 =
  39. 39.86739 ÷ 897 =
  40. 40.52415 ÷ 89 =

Answer key

  1. 688 rem 14
  2. 149 rem 401
  3. 356 rem 14
  4. 674 rem 62
  5. 35 rem 38
  6. 45 rem 604
  7. 1058 rem 16
  8. 861 rem 410
  9. 185 rem 29
  10. 1103 rem 31
  11. 831 rem 26
  12. 649 rem 666
  13. 892 rem 87
  14. 355 rem 165
  15. 750 rem 49
  16. 962 rem 93
  17. 714 rem 15
  18. 697 rem 386
  19. 469 rem 26
  20. 178 rem 198
  21. 257 rem 0
  22. 565 rem 891
  23. 618 rem 928
  24. 39 rem 852
  25. 738 rem 59
  26. 616 rem 931
  27. 613 rem 31
  28. 678 rem 78
  29. 879 rem 842
  30. 35 rem 2
  31. 560 rem 951
  32. 597 rem 80
  33. 973 rem 312
  34. 295 rem 5
  35. 822 rem 20
  36. 241 rem 812
  37. 241 rem 29
  38. 20 rem 82
  39. 96 rem 627
  40. 588 rem 83

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