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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 657 · 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. 1.71815 ÷ 97 =
  2. 2.138086 ÷ 988 =
  3. 3.93656 ÷ 88 =
  4. 4.99171 ÷ 897 =
  5. 5.11620 ÷ 97 =
  6. 6.63630 ÷ 89 =
  7. 7.5000 ÷ 88 =
  8. 8.137562 ÷ 997 =
  9. 9.247240 ÷ 897 =
  10. 10.17484 ÷ 97 =
  11. 11.311738 ÷ 997 =
  12. 12.640220 ÷ 988 =
  13. 13.42570 ÷ 97 =
  14. 14.94285 ÷ 97 =
  15. 15.386 ÷ 8 =
  16. 16.72414 ÷ 89 =
  17. 17.492086 ÷ 998 =
  18. 18.9103 ÷ 8 =
  19. 19.74329 ÷ 997 =
  20. 20.879784 ÷ 897 =
  21. 21.21863 ÷ 96 =
  22. 22.83352 ÷ 88 =
  23. 23.60224 ÷ 96 =
  24. 24.7568 ÷ 98 =
  25. 25.567040 ÷ 997 =
  26. 26.87010 ÷ 96 =
  27. 27.40075 ÷ 88 =
  28. 28.35055 ÷ 897 =
  29. 29.329351 ÷ 897 =
  30. 30.80517 ÷ 897 =
  31. 31.42220 ÷ 96 =
  32. 32.888238 ÷ 998 =
  33. 33.93365 ÷ 89 =
  34. 34.223892 ÷ 998 =
  35. 35.29707 ÷ 89 =
  36. 36.636153 ÷ 997 =
  37. 37.936564 ÷ 897 =
  38. 38.878203 ÷ 988 =
  39. 39.49912 ÷ 998 =
  40. 40.22568 ÷ 998 =

Answer key

  1. 740 rem 35
  2. 139 rem 754
  3. 1064 rem 24
  4. 110 rem 501
  5. 119 rem 77
  6. 714 rem 84
  7. 56 rem 72
  8. 137 rem 973
  9. 275 rem 565
  10. 180 rem 24
  11. 312 rem 674
  12. 647 rem 984
  13. 438 rem 84
  14. 972 rem 1
  15. 48 rem 2
  16. 813 rem 57
  17. 493 rem 72
  18. 1137 rem 7
  19. 74 rem 551
  20. 980 rem 724
  21. 227 rem 71
  22. 947 rem 16
  23. 627 rem 32
  24. 77 rem 22
  25. 568 rem 744
  26. 906 rem 34
  27. 455 rem 35
  28. 39 rem 72
  29. 367 rem 152
  30. 89 rem 684
  31. 439 rem 76
  32. 890 rem 18
  33. 1049 rem 4
  34. 224 rem 340
  35. 333 rem 70
  36. 638 rem 67
  37. 1044 rem 96
  38. 888 rem 859
  39. 50 rem 12
  40. 22 rem 612

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