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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 506 · 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. 1.680148 ÷ 897 =
  2. 2.54097 ÷ 97 =
  3. 3.36614 ÷ 89 =
  4. 4.517017 ÷ 997 =
  5. 5.846746 ÷ 989 =
  6. 6.234704 ÷ 989 =
  7. 7.92165 ÷ 98 =
  8. 8.4194 ÷ 8 =
  9. 9.988647 ÷ 997 =
  10. 10.59215 ÷ 997 =
  11. 11.6949 ÷ 8 =
  12. 12.277524 ÷ 897 =
  13. 13.58325 ÷ 97 =
  14. 14.424915 ÷ 997 =
  15. 15.72480 ÷ 88 =
  16. 16.612774 ÷ 997 =
  17. 17.63269 ÷ 897 =
  18. 18.707261 ÷ 989 =
  19. 19.23829 ÷ 88 =
  20. 20.478549 ÷ 998 =
  21. 21.17656 ÷ 89 =
  22. 22.978479 ÷ 897 =
  23. 23.20542 ÷ 98 =
  24. 24.84323 ÷ 98 =
  25. 25.89842 ÷ 96 =
  26. 26.97698 ÷ 997 =
  27. 27.63156 ÷ 98 =
  28. 28.447490 ÷ 897 =
  29. 29.59438 ÷ 98 =
  30. 30.82263 ÷ 88 =
  31. 31.11176 ÷ 97 =
  32. 32.387490 ÷ 997 =
  33. 33.17049 ÷ 97 =
  34. 34.460821 ÷ 897 =
  35. 35.25519 ÷ 88 =
  36. 36.20181 ÷ 897 =
  37. 37.4753 ÷ 8 =
  38. 38.659262 ÷ 997 =
  39. 39.30324 ÷ 98 =
  40. 40.590073 ÷ 989 =

Answer key

  1. 758 rem 222
  2. 557 rem 68
  3. 411 rem 35
  4. 518 rem 571
  5. 856 rem 162
  6. 237 rem 311
  7. 940 rem 45
  8. 524 rem 2
  9. 991 rem 620
  10. 59 rem 392
  11. 868 rem 5
  12. 309 rem 351
  13. 601 rem 28
  14. 426 rem 193
  15. 823 rem 56
  16. 614 rem 616
  17. 70 rem 479
  18. 715 rem 126
  19. 270 rem 69
  20. 479 rem 507
  21. 198 rem 34
  22. 1090 rem 749
  23. 209 rem 60
  24. 860 rem 43
  25. 935 rem 82
  26. 97 rem 989
  27. 644 rem 44
  28. 498 rem 784
  29. 606 rem 50
  30. 934 rem 71
  31. 115 rem 21
  32. 388 rem 654
  33. 175 rem 74
  34. 513 rem 660
  35. 289 rem 87
  36. 22 rem 447
  37. 594 rem 1
  38. 661 rem 245
  39. 309 rem 42
  40. 596 rem 629

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