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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 661 · 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. 1.838461 ÷ 988 =
  2. 2.609043 ÷ 997 =
  3. 3.75013 ÷ 96 =
  4. 4.799710 ÷ 989 =
  5. 5.2598 ÷ 8 =
  6. 6.109475 ÷ 988 =
  7. 7.57877 ÷ 96 =
  8. 8.200263 ÷ 988 =
  9. 9.420670 ÷ 989 =
  10. 10.99118 ÷ 88 =
  11. 11.60033 ÷ 88 =
  12. 12.99647 ÷ 89 =
  13. 13.5827 ÷ 8 =
  14. 14.46367 ÷ 97 =
  15. 15.564272 ÷ 988 =
  16. 16.26188 ÷ 97 =
  17. 17.54990 ÷ 98 =
  18. 18.257629 ÷ 998 =
  19. 19.23697 ÷ 98 =
  20. 20.280209 ÷ 897 =
  21. 21.65881 ÷ 89 =
  22. 22.29739 ÷ 96 =
  23. 23.74678 ÷ 89 =
  24. 24.2867 ÷ 8 =
  25. 25.471113 ÷ 997 =
  26. 26.60914 ÷ 89 =
  27. 27.1726 ÷ 8 =
  28. 28.45776 ÷ 97 =
  29. 29.371713 ÷ 997 =
  30. 30.554011 ÷ 997 =
  31. 31.275078 ÷ 989 =
  32. 32.53882 ÷ 997 =
  33. 33.422514 ÷ 897 =
  34. 34.5628 ÷ 8 =
  35. 35.622569 ÷ 998 =
  36. 36.77486 ÷ 98 =
  37. 37.25803 ÷ 88 =
  38. 38.43333 ÷ 97 =
  39. 39.594770 ÷ 989 =
  40. 40.4370 ÷ 8 =

Answer key

  1. 848 rem 637
  2. 610 rem 873
  3. 781 rem 37
  4. 808 rem 598
  5. 324 rem 6
  6. 110 rem 795
  7. 602 rem 85
  8. 202 rem 687
  9. 425 rem 345
  10. 1126 rem 30
  11. 682 rem 17
  12. 1119 rem 56
  13. 728 rem 3
  14. 478 rem 1
  15. 571 rem 124
  16. 269 rem 95
  17. 561 rem 12
  18. 258 rem 145
  19. 241 rem 79
  20. 312 rem 345
  21. 740 rem 21
  22. 309 rem 75
  23. 839 rem 7
  24. 358 rem 3
  25. 472 rem 529
  26. 684 rem 38
  27. 215 rem 6
  28. 471 rem 89
  29. 372 rem 829
  30. 555 rem 676
  31. 278 rem 136
  32. 54 rem 44
  33. 471 rem 27
  34. 703 rem 4
  35. 623 rem 815
  36. 790 rem 66
  37. 293 rem 19
  38. 446 rem 71
  39. 601 rem 381
  40. 546 rem 2

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