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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 807 · 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. 1.80740 ÷ 97 =
  2. 2.613092 ÷ 998 =
  3. 3.44543 ÷ 89 =
  4. 4.128480 ÷ 988 =
  5. 5.786499 ÷ 997 =
  6. 6.469849 ÷ 998 =
  7. 7.224999 ÷ 989 =
  8. 8.43288 ÷ 97 =
  9. 9.812667 ÷ 997 =
  10. 10.909951 ÷ 989 =
  11. 11.4814 ÷ 89 =
  12. 12.92516 ÷ 97 =
  13. 13.44170 ÷ 96 =
  14. 14.33541 ÷ 89 =
  15. 15.800681 ÷ 998 =
  16. 16.62749 ÷ 97 =
  17. 17.18391 ÷ 89 =
  18. 18.450764 ÷ 997 =
  19. 19.29181 ÷ 89 =
  20. 20.41479 ÷ 98 =
  21. 21.670755 ÷ 897 =
  22. 22.24680 ÷ 96 =
  23. 23.1675 ÷ 88 =
  24. 24.28633 ÷ 98 =
  25. 25.791908 ÷ 897 =
  26. 26.7788 ÷ 8 =
  27. 27.72038 ÷ 988 =
  28. 28.2570 ÷ 8 =
  29. 29.67339 ÷ 98 =
  30. 30.946174 ÷ 897 =
  31. 31.504061 ÷ 997 =
  32. 32.9492 ÷ 8 =
  33. 33.99828 ÷ 89 =
  34. 34.9685 ÷ 8 =
  35. 35.46555 ÷ 88 =
  36. 36.14011 ÷ 98 =
  37. 37.714866 ÷ 897 =
  38. 38.24094 ÷ 89 =
  39. 39.732750 ÷ 997 =
  40. 40.980892 ÷ 988 =

Answer key

  1. 832 rem 36
  2. 614 rem 320
  3. 500 rem 43
  4. 130 rem 40
  5. 788 rem 863
  6. 470 rem 789
  7. 227 rem 496
  8. 446 rem 26
  9. 815 rem 112
  10. 920 rem 71
  11. 54 rem 8
  12. 953 rem 75
  13. 460 rem 10
  14. 376 rem 77
  15. 802 rem 285
  16. 646 rem 87
  17. 206 rem 57
  18. 452 rem 120
  19. 327 rem 78
  20. 423 rem 25
  21. 747 rem 696
  22. 257 rem 8
  23. 19 rem 3
  24. 292 rem 17
  25. 882 rem 754
  26. 973 rem 4
  27. 72 rem 902
  28. 321 rem 2
  29. 687 rem 13
  30. 1054 rem 736
  31. 505 rem 576
  32. 1186 rem 4
  33. 1121 rem 59
  34. 1210 rem 5
  35. 529 rem 3
  36. 142 rem 95
  37. 796 rem 854
  38. 270 rem 64
  39. 734 rem 952
  40. 992 rem 796

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