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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 731 · 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. 1.68566 ÷ 88 =
  2. 2.879982 ÷ 988 =
  3. 3.9714 ÷ 8 =
  4. 4.280182 ÷ 897 =
  5. 5.52786 ÷ 97 =
  6. 6.64252 ÷ 96 =
  7. 7.393623 ÷ 997 =
  8. 8.20131 ÷ 998 =
  9. 9.797836 ÷ 997 =
  10. 10.102029 ÷ 998 =
  11. 11.776057 ÷ 897 =
  12. 12.219300 ÷ 897 =
  13. 13.430766 ÷ 997 =
  14. 14.400217 ÷ 998 =
  15. 15.79013 ÷ 97 =
  16. 16.18644 ÷ 97 =
  17. 17.58583 ÷ 98 =
  18. 18.564889 ÷ 988 =
  19. 19.72599 ÷ 89 =
  20. 20.750930 ÷ 998 =
  21. 21.534551 ÷ 897 =
  22. 22.76564 ÷ 89 =
  23. 23.31366 ÷ 96 =
  24. 24.68761 ÷ 89 =
  25. 25.374881 ÷ 897 =
  26. 26.16856 ÷ 96 =
  27. 27.18875 ÷ 997 =
  28. 28.528217 ÷ 997 =
  29. 29.734022 ÷ 988 =
  30. 30.349466 ÷ 998 =
  31. 31.129539 ÷ 988 =
  32. 32.9807 ÷ 88 =
  33. 33.53651 ÷ 96 =
  34. 34.66158 ÷ 97 =
  35. 35.70616 ÷ 98 =
  36. 36.79752 ÷ 97 =
  37. 37.49174 ÷ 89 =
  38. 38.2055 ÷ 8 =
  39. 39.4512 ÷ 97 =
  40. 40.48088 ÷ 96 =

Answer key

  1. 779 rem 14
  2. 890 rem 662
  3. 1214 rem 2
  4. 312 rem 318
  5. 544 rem 18
  6. 669 rem 28
  7. 394 rem 805
  8. 20 rem 171
  9. 800 rem 236
  10. 102 rem 233
  11. 865 rem 152
  12. 244 rem 432
  13. 432 rem 62
  14. 401 rem 19
  15. 814 rem 55
  16. 192 rem 20
  17. 597 rem 77
  18. 571 rem 741
  19. 815 rem 64
  20. 752 rem 434
  21. 595 rem 836
  22. 860 rem 24
  23. 326 rem 70
  24. 772 rem 53
  25. 417 rem 832
  26. 175 rem 56
  27. 18 rem 929
  28. 529 rem 804
  29. 742 rem 926
  30. 350 rem 166
  31. 131 rem 111
  32. 111 rem 39
  33. 558 rem 83
  34. 682 rem 4
  35. 720 rem 56
  36. 822 rem 18
  37. 552 rem 46
  38. 256 rem 7
  39. 46 rem 50
  40. 500 rem 88

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