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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 749 · 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. 1.674880 ÷ 997 =
  2. 2.778436 ÷ 997 =
  3. 3.4888 ÷ 8 =
  4. 4.812415 ÷ 989 =
  5. 5.71988 ÷ 88 =
  6. 6.130747 ÷ 997 =
  7. 7.80981 ÷ 96 =
  8. 8.957327 ÷ 988 =
  9. 9.698028 ÷ 988 =
  10. 10.14905 ÷ 89 =
  11. 11.60222 ÷ 88 =
  12. 12.826837 ÷ 989 =
  13. 13.110910 ÷ 998 =
  14. 14.212720 ÷ 988 =
  15. 15.408300 ÷ 989 =
  16. 16.570131 ÷ 897 =
  17. 17.48711 ÷ 88 =
  18. 18.366656 ÷ 998 =
  19. 19.353338 ÷ 988 =
  20. 20.240769 ÷ 997 =
  21. 21.8417 ÷ 8 =
  22. 22.77459 ÷ 98 =
  23. 23.48322 ÷ 98 =
  24. 24.4418 ÷ 8 =
  25. 25.294795 ÷ 897 =
  26. 26.837017 ÷ 997 =
  27. 27.432464 ÷ 997 =
  28. 28.166794 ÷ 988 =
  29. 29.10877 ÷ 97 =
  30. 30.104884 ÷ 897 =
  31. 31.847492 ÷ 988 =
  32. 32.88918 ÷ 98 =
  33. 33.524637 ÷ 998 =
  34. 34.66701 ÷ 88 =
  35. 35.885044 ÷ 897 =
  36. 36.39558 ÷ 97 =
  37. 37.514827 ÷ 897 =
  38. 38.922976 ÷ 989 =
  39. 39.298803 ÷ 997 =
  40. 40.55162 ÷ 96 =

Answer key

  1. 676 rem 908
  2. 780 rem 776
  3. 611 rem 0
  4. 821 rem 446
  5. 818 rem 4
  6. 131 rem 140
  7. 843 rem 53
  8. 968 rem 943
  9. 706 rem 500
  10. 167 rem 42
  11. 684 rem 30
  12. 836 rem 33
  13. 111 rem 132
  14. 215 rem 300
  15. 412 rem 832
  16. 635 rem 536
  17. 553 rem 47
  18. 367 rem 390
  19. 357 rem 622
  20. 241 rem 492
  21. 1052 rem 1
  22. 790 rem 39
  23. 493 rem 8
  24. 552 rem 2
  25. 328 rem 579
  26. 839 rem 534
  27. 433 rem 763
  28. 168 rem 810
  29. 112 rem 13
  30. 116 rem 832
  31. 857 rem 776
  32. 907 rem 32
  33. 525 rem 687
  34. 757 rem 85
  35. 986 rem 602
  36. 407 rem 79
  37. 573 rem 846
  38. 933 rem 239
  39. 299 rem 700
  40. 574 rem 58

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