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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 869 · 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. 1.9196 ÷ 97 =
  2. 2.391072 ÷ 998 =
  3. 3.49680 ÷ 98 =
  4. 4.7503 ÷ 8 =
  5. 5.81751 ÷ 96 =
  6. 6.24255 ÷ 88 =
  7. 7.141309 ÷ 997 =
  8. 8.56915 ÷ 96 =
  9. 9.156900 ÷ 989 =
  10. 10.8931 ÷ 8 =
  11. 11.859636 ÷ 997 =
  12. 12.655508 ÷ 988 =
  13. 13.55446 ÷ 98 =
  14. 14.10934 ÷ 97 =
  15. 15.55712 ÷ 89 =
  16. 16.44409 ÷ 98 =
  17. 17.3210 ÷ 96 =
  18. 18.75416 ÷ 998 =
  19. 19.199469 ÷ 897 =
  20. 20.88457 ÷ 97 =
  21. 21.24505 ÷ 97 =
  22. 22.18969 ÷ 88 =
  23. 23.1608 ÷ 8 =
  24. 24.76488 ÷ 89 =
  25. 25.364101 ÷ 988 =
  26. 26.811 ÷ 8 =
  27. 27.83750 ÷ 98 =
  28. 28.13447 ÷ 96 =
  29. 29.6296 ÷ 8 =
  30. 30.68356 ÷ 89 =
  31. 31.171073 ÷ 997 =
  32. 32.119715 ÷ 998 =
  33. 33.895966 ÷ 997 =
  34. 34.5175 ÷ 8 =
  35. 35.17220 ÷ 89 =
  36. 36.69196 ÷ 96 =
  37. 37.87397 ÷ 88 =
  38. 38.916488 ÷ 997 =
  39. 39.1053 ÷ 8 =
  40. 40.374761 ÷ 989 =

Answer key

  1. 94 rem 78
  2. 391 rem 854
  3. 506 rem 92
  4. 937 rem 7
  5. 851 rem 55
  6. 275 rem 55
  7. 141 rem 732
  8. 592 rem 83
  9. 158 rem 638
  10. 1116 rem 3
  11. 862 rem 222
  12. 663 rem 464
  13. 565 rem 76
  14. 112 rem 70
  15. 625 rem 87
  16. 453 rem 15
  17. 33 rem 42
  18. 75 rem 566
  19. 222 rem 335
  20. 911 rem 90
  21. 252 rem 61
  22. 215 rem 49
  23. 201 rem 0
  24. 859 rem 37
  25. 368 rem 517
  26. 101 rem 3
  27. 854 rem 58
  28. 140 rem 7
  29. 787 rem 0
  30. 768 rem 4
  31. 171 rem 586
  32. 119 rem 953
  33. 898 rem 660
  34. 646 rem 7
  35. 193 rem 43
  36. 720 rem 76
  37. 993 rem 13
  38. 919 rem 245
  39. 131 rem 5
  40. 378 rem 919

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