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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 463 · 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. 1.6233 ÷ 8 =
  2. 2.18389 ÷ 97 =
  3. 3.71567 ÷ 98 =
  4. 4.37214 ÷ 989 =
  5. 5.494425 ÷ 997 =
  6. 6.74250 ÷ 89 =
  7. 7.824062 ÷ 989 =
  8. 8.368616 ÷ 998 =
  9. 9.41686 ÷ 96 =
  10. 10.8958 ÷ 8 =
  11. 11.33813 ÷ 88 =
  12. 12.66306 ÷ 89 =
  13. 13.10663 ÷ 97 =
  14. 14.390955 ÷ 989 =
  15. 15.20360 ÷ 97 =
  16. 16.428426 ÷ 989 =
  17. 17.50310 ÷ 88 =
  18. 18.379340 ÷ 998 =
  19. 19.581800 ÷ 997 =
  20. 20.45471 ÷ 897 =
  21. 21.653677 ÷ 997 =
  22. 22.398 ÷ 8 =
  23. 23.34630 ÷ 97 =
  24. 24.36255 ÷ 96 =
  25. 25.571138 ÷ 998 =
  26. 26.50036 ÷ 88 =
  27. 27.59749 ÷ 98 =
  28. 28.588770 ÷ 998 =
  29. 29.275849 ÷ 998 =
  30. 30.311898 ÷ 989 =
  31. 31.196633 ÷ 989 =
  32. 32.166294 ÷ 997 =
  33. 33.703221 ÷ 989 =
  34. 34.7347 ÷ 8 =
  35. 35.22937 ÷ 989 =
  36. 36.183078 ÷ 988 =
  37. 37.40072 ÷ 97 =
  38. 38.560422 ÷ 989 =
  39. 39.279774 ÷ 897 =
  40. 40.939061 ÷ 988 =

Answer key

  1. 779 rem 1
  2. 189 rem 56
  3. 730 rem 27
  4. 37 rem 621
  5. 495 rem 910
  6. 834 rem 24
  7. 833 rem 225
  8. 369 rem 354
  9. 434 rem 22
  10. 1119 rem 6
  11. 384 rem 21
  12. 745 rem 1
  13. 109 rem 90
  14. 395 rem 300
  15. 209 rem 87
  16. 433 rem 189
  17. 571 rem 62
  18. 380 rem 100
  19. 583 rem 549
  20. 50 rem 621
  21. 655 rem 642
  22. 49 rem 6
  23. 357 rem 1
  24. 377 rem 63
  25. 572 rem 282
  26. 568 rem 52
  27. 609 rem 67
  28. 589 rem 948
  29. 276 rem 401
  30. 315 rem 363
  31. 198 rem 811
  32. 166 rem 792
  33. 711 rem 42
  34. 918 rem 3
  35. 23 rem 190
  36. 185 rem 298
  37. 413 rem 11
  38. 566 rem 648
  39. 311 rem 807
  40. 950 rem 461

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