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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 36 · 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. 1.6923 ÷ 8 =
  2. 2.22614 ÷ 89 =
  3. 3.25727 ÷ 998 =
  4. 4.70623 ÷ 96 =
  5. 5.79809 ÷ 97 =
  6. 6.76474 ÷ 98 =
  7. 7.161851 ÷ 897 =
  8. 8.6041 ÷ 8 =
  9. 9.55155 ÷ 97 =
  10. 10.847136 ÷ 989 =
  11. 11.64109 ÷ 97 =
  12. 12.29546 ÷ 98 =
  13. 13.390067 ÷ 988 =
  14. 14.586195 ÷ 998 =
  15. 15.2475 ÷ 8 =
  16. 16.303247 ÷ 989 =
  17. 17.27434 ÷ 98 =
  18. 18.28979 ÷ 96 =
  19. 19.20253 ÷ 97 =
  20. 20.8000 ÷ 8 =
  21. 21.11892 ÷ 98 =
  22. 22.2769 ÷ 97 =
  23. 23.600758 ÷ 989 =
  24. 24.33220 ÷ 89 =
  25. 25.561351 ÷ 998 =
  26. 26.12921 ÷ 96 =
  27. 27.207640 ÷ 897 =
  28. 28.19297 ÷ 89 =
  29. 29.34294 ÷ 88 =
  30. 30.5457 ÷ 8 =
  31. 31.15180 ÷ 98 =
  32. 32.28749 ÷ 96 =
  33. 33.94505 ÷ 98 =
  34. 34.42462 ÷ 998 =
  35. 35.561197 ÷ 897 =
  36. 36.135491 ÷ 998 =
  37. 37.38351 ÷ 96 =
  38. 38.707881 ÷ 989 =
  39. 39.689583 ÷ 998 =
  40. 40.3673 ÷ 88 =

Answer key

  1. 865 rem 3
  2. 254 rem 8
  3. 25 rem 777
  4. 735 rem 63
  5. 822 rem 75
  6. 780 rem 34
  7. 180 rem 391
  8. 755 rem 1
  9. 568 rem 59
  10. 856 rem 552
  11. 660 rem 89
  12. 301 rem 48
  13. 394 rem 795
  14. 587 rem 369
  15. 309 rem 3
  16. 306 rem 613
  17. 279 rem 92
  18. 301 rem 83
  19. 208 rem 77
  20. 1000 rem 0
  21. 121 rem 34
  22. 28 rem 53
  23. 607 rem 435
  24. 373 rem 23
  25. 562 rem 475
  26. 134 rem 57
  27. 231 rem 433
  28. 216 rem 73
  29. 389 rem 62
  30. 682 rem 1
  31. 154 rem 88
  32. 299 rem 45
  33. 964 rem 33
  34. 42 rem 546
  35. 625 rem 572
  36. 135 rem 761
  37. 399 rem 47
  38. 715 rem 746
  39. 690 rem 963
  40. 41 rem 65

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