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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 314 · 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. 1.8013 ÷ 8 =
  2. 2.76344 ÷ 96 =
  3. 3.466 ÷ 8 =
  4. 4.185795 ÷ 998 =
  5. 5.7754 ÷ 8 =
  6. 6.76461 ÷ 98 =
  7. 7.297516 ÷ 897 =
  8. 8.608513 ÷ 897 =
  9. 9.33754 ÷ 97 =
  10. 10.32726 ÷ 98 =
  11. 11.27058 ÷ 897 =
  12. 12.91545 ÷ 98 =
  13. 13.240 ÷ 8 =
  14. 14.529489 ÷ 989 =
  15. 15.24599 ÷ 98 =
  16. 16.367408 ÷ 897 =
  17. 17.986141 ÷ 897 =
  18. 18.33632 ÷ 97 =
  19. 19.51407 ÷ 88 =
  20. 20.64469 ÷ 96 =
  21. 21.8158 ÷ 97 =
  22. 22.566696 ÷ 988 =
  23. 23.884767 ÷ 897 =
  24. 24.870 ÷ 8 =
  25. 25.999780 ÷ 997 =
  26. 26.1607 ÷ 8 =
  27. 27.153985 ÷ 897 =
  28. 28.26230 ÷ 89 =
  29. 29.383513 ÷ 997 =
  30. 30.479371 ÷ 998 =
  31. 31.268009 ÷ 989 =
  32. 32.433428 ÷ 997 =
  33. 33.59892 ÷ 89 =
  34. 34.36030 ÷ 97 =
  35. 35.939248 ÷ 997 =
  36. 36.64299 ÷ 897 =
  37. 37.37962 ÷ 96 =
  38. 38.31578 ÷ 98 =
  39. 39.590332 ÷ 988 =
  40. 40.95592 ÷ 89 =

Answer key

  1. 1001 rem 5
  2. 795 rem 24
  3. 58 rem 2
  4. 186 rem 167
  5. 969 rem 2
  6. 780 rem 21
  7. 331 rem 609
  8. 678 rem 347
  9. 347 rem 95
  10. 333 rem 92
  11. 30 rem 148
  12. 934 rem 13
  13. 30 rem 0
  14. 535 rem 374
  15. 251 rem 1
  16. 409 rem 535
  17. 1099 rem 338
  18. 346 rem 70
  19. 584 rem 15
  20. 671 rem 53
  21. 84 rem 10
  22. 573 rem 572
  23. 986 rem 325
  24. 108 rem 6
  25. 1002 rem 786
  26. 200 rem 7
  27. 171 rem 598
  28. 294 rem 64
  29. 384 rem 665
  30. 480 rem 331
  31. 270 rem 979
  32. 434 rem 730
  33. 672 rem 84
  34. 371 rem 43
  35. 942 rem 74
  36. 71 rem 612
  37. 395 rem 42
  38. 322 rem 22
  39. 597 rem 496
  40. 1074 rem 6

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