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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 146 · 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. 1.1887 ÷ 96 =
  2. 2.14950 ÷ 97 =
  3. 3.63279 ÷ 88 =
  4. 4.349851 ÷ 989 =
  5. 5.7156 ÷ 8 =
  6. 6.26415 ÷ 98 =
  7. 7.306733 ÷ 897 =
  8. 8.885981 ÷ 989 =
  9. 9.230645 ÷ 998 =
  10. 10.244723 ÷ 989 =
  11. 11.2346 ÷ 8 =
  12. 12.217038 ÷ 988 =
  13. 13.78505 ÷ 97 =
  14. 14.4431 ÷ 8 =
  15. 15.905968 ÷ 998 =
  16. 16.208942 ÷ 997 =
  17. 17.885487 ÷ 997 =
  18. 18.4300 ÷ 8 =
  19. 19.1824 ÷ 8 =
  20. 20.73715 ÷ 96 =
  21. 21.1781 ÷ 89 =
  22. 22.29938 ÷ 89 =
  23. 23.29232 ÷ 98 =
  24. 24.93928 ÷ 96 =
  25. 25.23834 ÷ 88 =
  26. 26.169174 ÷ 997 =
  27. 27.257697 ÷ 989 =
  28. 28.650746 ÷ 988 =
  29. 29.3430 ÷ 8 =
  30. 30.144594 ÷ 897 =
  31. 31.7141 ÷ 8 =
  32. 32.69445 ÷ 88 =
  33. 33.31274 ÷ 88 =
  34. 34.87436 ÷ 89 =
  35. 35.25964 ÷ 97 =
  36. 36.450332 ÷ 998 =
  37. 37.922524 ÷ 989 =
  38. 38.15528 ÷ 98 =
  39. 39.880687 ÷ 989 =
  40. 40.371443 ÷ 998 =

Answer key

  1. 19 rem 63
  2. 154 rem 12
  3. 719 rem 7
  4. 353 rem 734
  5. 894 rem 4
  6. 269 rem 53
  7. 341 rem 856
  8. 895 rem 826
  9. 231 rem 107
  10. 247 rem 440
  11. 293 rem 2
  12. 219 rem 666
  13. 809 rem 32
  14. 553 rem 7
  15. 907 rem 782
  16. 209 rem 569
  17. 888 rem 151
  18. 537 rem 4
  19. 228 rem 0
  20. 767 rem 83
  21. 20 rem 1
  22. 336 rem 34
  23. 298 rem 28
  24. 978 rem 40
  25. 270 rem 74
  26. 169 rem 681
  27. 260 rem 557
  28. 658 rem 642
  29. 428 rem 6
  30. 161 rem 177
  31. 892 rem 5
  32. 789 rem 13
  33. 355 rem 34
  34. 982 rem 38
  35. 267 rem 65
  36. 451 rem 234
  37. 932 rem 776
  38. 158 rem 44
  39. 890 rem 477
  40. 372 rem 187

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