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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 694 · 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. 1.561996 ÷ 997 =
  2. 2.37607 ÷ 98 =
  3. 3.31468 ÷ 88 =
  4. 4.3846 ÷ 8 =
  5. 5.81480 ÷ 88 =
  6. 6.338398 ÷ 988 =
  7. 7.76015 ÷ 88 =
  8. 8.49502 ÷ 96 =
  9. 9.11268 ÷ 97 =
  10. 10.9402 ÷ 8 =
  11. 11.98434 ÷ 98 =
  12. 12.29388 ÷ 97 =
  13. 13.76713 ÷ 97 =
  14. 14.708 ÷ 8 =
  15. 15.778118 ÷ 997 =
  16. 16.24514 ÷ 88 =
  17. 17.5308 ÷ 8 =
  18. 18.762434 ÷ 897 =
  19. 19.95191 ÷ 97 =
  20. 20.71364 ÷ 98 =
  21. 21.93072 ÷ 97 =
  22. 22.714230 ÷ 998 =
  23. 23.624794 ÷ 897 =
  24. 24.644524 ÷ 998 =
  25. 25.391290 ÷ 998 =
  26. 26.835751 ÷ 988 =
  27. 27.28015 ÷ 989 =
  28. 28.415529 ÷ 997 =
  29. 29.24195 ÷ 96 =
  30. 30.72553 ÷ 989 =
  31. 31.1020 ÷ 98 =
  32. 32.939480 ÷ 897 =
  33. 33.55662 ÷ 97 =
  34. 34.64842 ÷ 89 =
  35. 35.72904 ÷ 89 =
  36. 36.76651 ÷ 89 =
  37. 37.84053 ÷ 98 =
  38. 38.383581 ÷ 988 =
  39. 39.68004 ÷ 96 =
  40. 40.82494 ÷ 97 =

Answer key

  1. 563 rem 685
  2. 383 rem 73
  3. 357 rem 52
  4. 480 rem 6
  5. 925 rem 80
  6. 342 rem 502
  7. 863 rem 71
  8. 515 rem 62
  9. 116 rem 16
  10. 1175 rem 2
  11. 1004 rem 42
  12. 302 rem 94
  13. 790 rem 83
  14. 88 rem 4
  15. 780 rem 458
  16. 278 rem 50
  17. 663 rem 4
  18. 849 rem 881
  19. 981 rem 34
  20. 728 rem 20
  21. 959 rem 49
  22. 715 rem 660
  23. 696 rem 482
  24. 645 rem 814
  25. 392 rem 74
  26. 845 rem 891
  27. 28 rem 323
  28. 416 rem 777
  29. 252 rem 3
  30. 73 rem 356
  31. 10 rem 40
  32. 1047 rem 321
  33. 573 rem 81
  34. 728 rem 50
  35. 819 rem 13
  36. 861 rem 22
  37. 857 rem 67
  38. 388 rem 237
  39. 708 rem 36
  40. 850 rem 44

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