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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 96 · 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. 1.15641 ÷ 88 =
  2. 2.42845 ÷ 989 =
  3. 3.81635 ÷ 97 =
  4. 4.47739 ÷ 988 =
  5. 5.15319 ÷ 97 =
  6. 6.4562 ÷ 96 =
  7. 7.70052 ÷ 997 =
  8. 8.49730 ÷ 97 =
  9. 9.15423 ÷ 98 =
  10. 10.3148 ÷ 97 =
  11. 11.10467 ÷ 88 =
  12. 12.77897 ÷ 88 =
  13. 13.488291 ÷ 998 =
  14. 14.53294 ÷ 97 =
  15. 15.206753 ÷ 989 =
  16. 16.3660 ÷ 96 =
  17. 17.22851 ÷ 89 =
  18. 18.31692 ÷ 97 =
  19. 19.830268 ÷ 988 =
  20. 20.91487 ÷ 89 =
  21. 21.39835 ÷ 96 =
  22. 22.486748 ÷ 988 =
  23. 23.110150 ÷ 997 =
  24. 24.91482 ÷ 97 =
  25. 25.205388 ÷ 897 =
  26. 26.298648 ÷ 897 =
  27. 27.96973 ÷ 97 =
  28. 28.270389 ÷ 997 =
  29. 29.517117 ÷ 897 =
  30. 30.335970 ÷ 989 =
  31. 31.92347 ÷ 96 =
  32. 32.40654 ÷ 96 =
  33. 33.38136 ÷ 89 =
  34. 34.83719 ÷ 98 =
  35. 35.37418 ÷ 97 =
  36. 36.41678 ÷ 97 =
  37. 37.806 ÷ 8 =
  38. 38.52012 ÷ 97 =
  39. 39.45384 ÷ 98 =
  40. 40.33614 ÷ 97 =

Answer key

  1. 177 rem 65
  2. 43 rem 318
  3. 841 rem 58
  4. 48 rem 315
  5. 157 rem 90
  6. 47 rem 50
  7. 70 rem 262
  8. 512 rem 66
  9. 157 rem 37
  10. 32 rem 44
  11. 118 rem 83
  12. 885 rem 17
  13. 489 rem 269
  14. 549 rem 41
  15. 209 rem 52
  16. 38 rem 12
  17. 256 rem 67
  18. 326 rem 70
  19. 840 rem 348
  20. 1027 rem 84
  21. 414 rem 91
  22. 492 rem 652
  23. 110 rem 480
  24. 943 rem 11
  25. 228 rem 872
  26. 332 rem 844
  27. 999 rem 70
  28. 271 rem 202
  29. 576 rem 445
  30. 339 rem 699
  31. 961 rem 91
  32. 423 rem 46
  33. 428 rem 44
  34. 854 rem 27
  35. 385 rem 73
  36. 429 rem 65
  37. 100 rem 6
  38. 536 rem 20
  39. 463 rem 10
  40. 346 rem 52

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