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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 140 · 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. 1.8535 ÷ 8 =
  2. 2.31595 ÷ 97 =
  3. 3.219133 ÷ 997 =
  4. 4.915578 ÷ 989 =
  5. 5.492251 ÷ 988 =
  6. 6.55522 ÷ 98 =
  7. 7.99165 ÷ 88 =
  8. 8.2348 ÷ 89 =
  9. 9.773682 ÷ 897 =
  10. 10.419733 ÷ 997 =
  11. 11.658084 ÷ 897 =
  12. 12.828701 ÷ 988 =
  13. 13.18068 ÷ 997 =
  14. 14.3284 ÷ 88 =
  15. 15.705971 ÷ 997 =
  16. 16.94758 ÷ 97 =
  17. 17.2378 ÷ 8 =
  18. 18.63301 ÷ 88 =
  19. 19.593290 ÷ 897 =
  20. 20.18054 ÷ 98 =
  21. 21.69148 ÷ 98 =
  22. 22.188842 ÷ 897 =
  23. 23.86290 ÷ 98 =
  24. 24.216185 ÷ 998 =
  25. 25.497988 ÷ 989 =
  26. 26.189963 ÷ 897 =
  27. 27.92860 ÷ 96 =
  28. 28.11783 ÷ 98 =
  29. 29.45639 ÷ 98 =
  30. 30.419628 ÷ 897 =
  31. 31.576685 ÷ 897 =
  32. 32.9475 ÷ 8 =
  33. 33.2911 ÷ 8 =
  34. 34.39835 ÷ 97 =
  35. 35.97398 ÷ 96 =
  36. 36.805572 ÷ 897 =
  37. 37.388402 ÷ 897 =
  38. 38.157579 ÷ 897 =
  39. 39.74881 ÷ 96 =
  40. 40.39823 ÷ 96 =

Answer key

  1. 1066 rem 7
  2. 325 rem 70
  3. 219 rem 790
  4. 925 rem 753
  5. 498 rem 227
  6. 566 rem 54
  7. 1126 rem 77
  8. 26 rem 34
  9. 862 rem 468
  10. 420 rem 993
  11. 733 rem 583
  12. 838 rem 757
  13. 18 rem 122
  14. 37 rem 28
  15. 708 rem 95
  16. 976 rem 86
  17. 297 rem 2
  18. 719 rem 29
  19. 661 rem 373
  20. 184 rem 22
  21. 705 rem 58
  22. 210 rem 472
  23. 880 rem 50
  24. 216 rem 617
  25. 503 rem 521
  26. 211 rem 696
  27. 967 rem 28
  28. 120 rem 23
  29. 465 rem 69
  30. 467 rem 729
  31. 642 rem 811
  32. 1184 rem 3
  33. 363 rem 7
  34. 410 rem 65
  35. 1014 rem 54
  36. 898 rem 66
  37. 433 rem 1
  38. 175 rem 604
  39. 780 rem 1
  40. 414 rem 79

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