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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 992 · 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. 1.838713 ÷ 988 =
  2. 2.146912 ÷ 998 =
  3. 3.85134 ÷ 96 =
  4. 4.713125 ÷ 997 =
  5. 5.342747 ÷ 988 =
  6. 6.5455 ÷ 8 =
  7. 7.34726 ÷ 89 =
  8. 8.4556 ÷ 88 =
  9. 9.912401 ÷ 998 =
  10. 10.688112 ÷ 997 =
  11. 11.1316 ÷ 89 =
  12. 12.4603 ÷ 8 =
  13. 13.34736 ÷ 96 =
  14. 14.22715 ÷ 88 =
  15. 15.44417 ÷ 97 =
  16. 16.57183 ÷ 97 =
  17. 17.78370 ÷ 997 =
  18. 18.258805 ÷ 897 =
  19. 19.663916 ÷ 998 =
  20. 20.82198 ÷ 998 =
  21. 21.93943 ÷ 988 =
  22. 22.165710 ÷ 989 =
  23. 23.51226 ÷ 96 =
  24. 24.76538 ÷ 98 =
  25. 25.93026 ÷ 998 =
  26. 26.33416 ÷ 89 =
  27. 27.6878 ÷ 98 =
  28. 28.25320 ÷ 96 =
  29. 29.856314 ÷ 897 =
  30. 30.99437 ÷ 98 =
  31. 31.3944 ÷ 89 =
  32. 32.99372 ÷ 97 =
  33. 33.5321 ÷ 8 =
  34. 34.523557 ÷ 997 =
  35. 35.91572 ÷ 88 =
  36. 36.91901 ÷ 88 =
  37. 37.51969 ÷ 89 =
  38. 38.95768 ÷ 89 =
  39. 39.667892 ÷ 998 =
  40. 40.6754 ÷ 8 =

Answer key

  1. 848 rem 889
  2. 147 rem 206
  3. 886 rem 78
  4. 715 rem 270
  5. 346 rem 899
  6. 681 rem 7
  7. 390 rem 16
  8. 51 rem 68
  9. 914 rem 229
  10. 690 rem 182
  11. 14 rem 70
  12. 575 rem 3
  13. 361 rem 80
  14. 258 rem 11
  15. 457 rem 88
  16. 589 rem 50
  17. 78 rem 604
  18. 288 rem 469
  19. 665 rem 246
  20. 82 rem 362
  21. 95 rem 83
  22. 167 rem 547
  23. 533 rem 58
  24. 781 rem 0
  25. 93 rem 212
  26. 375 rem 41
  27. 70 rem 18
  28. 263 rem 72
  29. 954 rem 576
  30. 1014 rem 65
  31. 44 rem 28
  32. 1024 rem 44
  33. 665 rem 1
  34. 525 rem 132
  35. 1040 rem 52
  36. 1044 rem 29
  37. 583 rem 82
  38. 1076 rem 4
  39. 669 rem 230
  40. 844 rem 2

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