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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 188 · 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. 1.87440 ÷ 97 =
  2. 2.16992 ÷ 97 =
  3. 3.170891 ÷ 988 =
  4. 4.237382 ÷ 989 =
  5. 5.92319 ÷ 98 =
  6. 6.83384 ÷ 997 =
  7. 7.19039 ÷ 97 =
  8. 8.55230 ÷ 96 =
  9. 9.86131 ÷ 98 =
  10. 10.87287 ÷ 98 =
  11. 11.48383 ÷ 98 =
  12. 12.964467 ÷ 989 =
  13. 13.3054 ÷ 8 =
  14. 14.11237 ÷ 98 =
  15. 15.980981 ÷ 989 =
  16. 16.25749 ÷ 97 =
  17. 17.573557 ÷ 897 =
  18. 18.85268 ÷ 96 =
  19. 19.24476 ÷ 89 =
  20. 20.96202 ÷ 897 =
  21. 21.84683 ÷ 989 =
  22. 22.48047 ÷ 88 =
  23. 23.665103 ÷ 998 =
  24. 24.53845 ÷ 88 =
  25. 25.15069 ÷ 997 =
  26. 26.771077 ÷ 989 =
  27. 27.250981 ÷ 897 =
  28. 28.68155 ÷ 96 =
  29. 29.893632 ÷ 897 =
  30. 30.495284 ÷ 997 =
  31. 31.59391 ÷ 89 =
  32. 32.3742 ÷ 98 =
  33. 33.11233 ÷ 98 =
  34. 34.88762 ÷ 89 =
  35. 35.222246 ÷ 998 =
  36. 36.815735 ÷ 997 =
  37. 37.648196 ÷ 998 =
  38. 38.447052 ÷ 897 =
  39. 39.99854 ÷ 88 =
  40. 40.87315 ÷ 97 =

Answer key

  1. 901 rem 43
  2. 175 rem 17
  3. 172 rem 955
  4. 240 rem 22
  5. 942 rem 3
  6. 83 rem 633
  7. 196 rem 27
  8. 575 rem 30
  9. 878 rem 87
  10. 890 rem 67
  11. 493 rem 69
  12. 975 rem 192
  13. 381 rem 6
  14. 114 rem 65
  15. 991 rem 882
  16. 265 rem 44
  17. 639 rem 374
  18. 888 rem 20
  19. 275 rem 1
  20. 107 rem 223
  21. 85 rem 618
  22. 545 rem 87
  23. 666 rem 435
  24. 611 rem 77
  25. 15 rem 114
  26. 779 rem 646
  27. 279 rem 718
  28. 709 rem 91
  29. 996 rem 220
  30. 496 rem 772
  31. 667 rem 28
  32. 38 rem 18
  33. 114 rem 61
  34. 997 rem 29
  35. 222 rem 690
  36. 818 rem 189
  37. 649 rem 494
  38. 498 rem 346
  39. 1134 rem 62
  40. 900 rem 15

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