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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 288 · 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. 1.34352 ÷ 98 =
  2. 2.93171 ÷ 988 =
  3. 3.8827 ÷ 8 =
  4. 4.870152 ÷ 988 =
  5. 5.283744 ÷ 997 =
  6. 6.39563 ÷ 98 =
  7. 7.644683 ÷ 998 =
  8. 8.984646 ÷ 989 =
  9. 9.9640 ÷ 8 =
  10. 10.75578 ÷ 96 =
  11. 11.18321 ÷ 98 =
  12. 12.11475 ÷ 96 =
  13. 13.9281 ÷ 8 =
  14. 14.30170 ÷ 89 =
  15. 15.68628 ÷ 97 =
  16. 16.39433 ÷ 98 =
  17. 17.26710 ÷ 88 =
  18. 18.69883 ÷ 88 =
  19. 19.251634 ÷ 997 =
  20. 20.780075 ÷ 997 =
  21. 21.32762 ÷ 89 =
  22. 22.4670 ÷ 88 =
  23. 23.72141 ÷ 89 =
  24. 24.66862 ÷ 97 =
  25. 25.6871 ÷ 8 =
  26. 26.97102 ÷ 88 =
  27. 27.56497 ÷ 98 =
  28. 28.322 ÷ 8 =
  29. 29.98875 ÷ 88 =
  30. 30.911959 ÷ 897 =
  31. 31.517462 ÷ 897 =
  32. 32.78396 ÷ 97 =
  33. 33.11104 ÷ 88 =
  34. 34.78784 ÷ 88 =
  35. 35.64167 ÷ 98 =
  36. 36.18192 ÷ 897 =
  37. 37.710968 ÷ 998 =
  38. 38.72779 ÷ 89 =
  39. 39.791090 ÷ 988 =
  40. 40.757969 ÷ 998 =

Answer key

  1. 350 rem 52
  2. 94 rem 299
  3. 1103 rem 3
  4. 880 rem 712
  5. 284 rem 596
  6. 403 rem 69
  7. 645 rem 973
  8. 995 rem 591
  9. 1205 rem 0
  10. 787 rem 26
  11. 186 rem 93
  12. 119 rem 51
  13. 1160 rem 1
  14. 338 rem 88
  15. 707 rem 49
  16. 402 rem 37
  17. 303 rem 46
  18. 794 rem 11
  19. 252 rem 390
  20. 782 rem 421
  21. 368 rem 10
  22. 53 rem 6
  23. 810 rem 51
  24. 689 rem 29
  25. 858 rem 7
  26. 1103 rem 38
  27. 576 rem 49
  28. 40 rem 2
  29. 1123 rem 51
  30. 1016 rem 607
  31. 576 rem 790
  32. 808 rem 20
  33. 126 rem 16
  34. 895 rem 24
  35. 654 rem 75
  36. 20 rem 252
  37. 712 rem 392
  38. 817 rem 66
  39. 800 rem 690
  40. 759 rem 487

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