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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 246 · 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. 1.77339 ÷ 88 =
  2. 2.77898 ÷ 89 =
  3. 3.853992 ÷ 997 =
  4. 4.624114 ÷ 897 =
  5. 5.560326 ÷ 897 =
  6. 6.26432 ÷ 96 =
  7. 7.135110 ÷ 997 =
  8. 8.59814 ÷ 89 =
  9. 9.28300 ÷ 88 =
  10. 10.374242 ÷ 997 =
  11. 11.88745 ÷ 89 =
  12. 12.445763 ÷ 997 =
  13. 13.671282 ÷ 997 =
  14. 14.76004 ÷ 98 =
  15. 15.34661 ÷ 88 =
  16. 16.83928 ÷ 96 =
  17. 17.435572 ÷ 897 =
  18. 18.81727 ÷ 98 =
  19. 19.35384 ÷ 96 =
  20. 20.54460 ÷ 98 =
  21. 21.79385 ÷ 97 =
  22. 22.12208 ÷ 88 =
  23. 23.816016 ÷ 989 =
  24. 24.877830 ÷ 997 =
  25. 25.447659 ÷ 989 =
  26. 26.4705 ÷ 97 =
  27. 27.72658 ÷ 97 =
  28. 28.643914 ÷ 897 =
  29. 29.17477 ÷ 96 =
  30. 30.93690 ÷ 89 =
  31. 31.84575 ÷ 98 =
  32. 32.8785 ÷ 8 =
  33. 33.51294 ÷ 88 =
  34. 34.2097 ÷ 8 =
  35. 35.41412 ÷ 98 =
  36. 36.175437 ÷ 897 =
  37. 37.48726 ÷ 88 =
  38. 38.299563 ÷ 998 =
  39. 39.867292 ÷ 997 =
  40. 40.36985 ÷ 88 =

Answer key

  1. 878 rem 75
  2. 875 rem 23
  3. 856 rem 560
  4. 695 rem 699
  5. 624 rem 598
  6. 275 rem 32
  7. 135 rem 515
  8. 672 rem 6
  9. 321 rem 52
  10. 375 rem 367
  11. 997 rem 12
  12. 447 rem 104
  13. 673 rem 301
  14. 775 rem 54
  15. 393 rem 77
  16. 874 rem 24
  17. 485 rem 527
  18. 833 rem 93
  19. 368 rem 56
  20. 555 rem 70
  21. 818 rem 39
  22. 138 rem 64
  23. 825 rem 91
  24. 880 rem 470
  25. 452 rem 631
  26. 48 rem 49
  27. 749 rem 5
  28. 717 rem 765
  29. 182 rem 5
  30. 1052 rem 62
  31. 863 rem 1
  32. 1098 rem 1
  33. 582 rem 78
  34. 262 rem 1
  35. 422 rem 56
  36. 195 rem 522
  37. 553 rem 62
  38. 300 rem 163
  39. 869 rem 899
  40. 420 rem 25

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